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VRAVI      V. Ravichandran, Ph.D
Department of Mathematics
University of Delhi
Delhi 110007, India

Email: vravi(AT)maths.du.ac.in


Education
  • M. Sc. (Mathematics) (1991) and M. Phil (Mathematics) (1992)
    National College, Bharathidasan University, Trichirappalli, India

  • Ph. D. (Complex Analysis) 1997
    Department of Mathematics, Anna University, Chennai (Madras), India
    Thesis: Analytic functions with special reference to uniformly convex functions.
Teaching and Research Editorial/Reviewer Appointments Membership in Professional Bodies My Erdos Number is 3
  1. V. Ravichandran, N. Seenivasagan, Hari M. Srivastava, Some inequalities associated with a linear operator defined for a class of multivalent functions, J. Inequal. Pure Appl. Math. 4 (2003), no. 4, Article 70, 12 pp. (electronic). MR2051571 (2004m:30022)
  2. Hari M. Srivastava, J. L. Brenner, Bounds for Jacobi and related polynomials derivable by matrix methods, J. Approximation Theory 12 (1974), 372--377. MR0374522 (51 #10722)
  3. L. B. Beasley, J. L. Brenner, P. Erdos, M. Szalay, A. G. Williamson, Generation of alternating groups by pairs of conjugates, Period. Math. Hungar. 18 (1987), no. 4, 259--269. MR0902513 (88j:20006)
Publications
Manuscripts
  1. Rosihan M. Ali, V. Ravichandran, N. Seenivasagan, Differential subordination and superordination for meromorphic functions defined by certain multiplier transformation, Bulletin of Korean Mathematical Society, submitted.
  2. Rosihan M. Ali, V. Ravichandran, N. Seenivasagan, Differential subordination and superordination of analytic functions defined by the Dziok-Srivastava linear operator, J. Franklin Institute, submitted.
  3. Lee See Keong, V. Ravichandran, Shamani Supramaniam, Coefficient bounds for meromorphic starlike and convex functions, Journal of Inequalities in Pure and Applied Mathematics, submitted.
Papers Published in Journals
  1. Rosihan M. Ali, Lee See Keong, V. Ravichandran, Shamani Supramaniam, Convolution and Differential Subordination for Multivalent Functions, Bulletin of the Malaysian Mathematical Sciences Society (2), to appear
  2. Rosihan M. Ali, Lee See Keong, V. Ravichandran, Shamani Supramaniam, The Fekete-Szego Coefficient Functional for Transforms of Analytic Functions, Bulletin of the Iranian Mathematical Society, to appear.
  3. V. Ravichandran, Criteria for univalence of integral operators, Acta Universitatis Apulensis, to appear.
  4. Rosihan M. Ali and V. Ravichandran, Classes of meromorphic α-convex functions, Taiwanese Journal of Mathematics, to appear.
  5. Rosihan M. Ali, V. Ravichandran, Lee See Keong, Subclasses of multivalent starlike and convex functions, Bulletin of the Belgian Mathematical Society - Simon Stevin, to appear.
  6. Maisarah Haji Mohd, Rosihan M. Ali, Lee See Keong and V. Ravichandran, Subclasses of Meromorphic Functions Associated with Convolution, Journal of Inequalities and Applications, Volume 2009 (2009), Article ID 190291, 10 pages.
  7. Rosihan M. Ali, V. Ravichandran, N. Seenivasagan, Differential subordination and superordination of analytic functions defined by the multiplier transformation, Mathematical Inequalities and Applications, Volume 12, Number 1 (2009), 123 - 139
  8. Rosihan M. Ali, V. Ravichandran, N. Seenivasagan, Differential subordination and superordination associated with Schwarzian derivatives, Journal of Inequalities and Applications, vol. 2008, Article ID 712328, 18 pages, 2008
  9. Rosihan M. Ali, Abeer Badghaish, and V. Ravichandran, Subordination For Higher-Order Derivatives of Multivalent Functions, Journal of Inequalities and Applications, vol. 2008, Article ID 712328, 18 pages, 2008
  10. Rosihan M. Ali, V. Ravichandran, N. Seenivasagan, Differential subordination and superordination for meromorphic functions defined by Liu-Srivastava linear operator, Bulletin of the Malaysian Mathematical Sciences Society (2), Vol. 31 No. 2, (2008), 193-207.
  11. Rosihan M. Ali, K. G. Subramanian, V. Ravichandran and Om P. Ahuja, Neighbourhoods of Starlike and Convex Functions Associated With Parabola, Journal of Inequalities and Applications, Volume 2008, Article ID 346279, 9 pages.
  12. Rosihan M. Ali, V. Ravichandran, N. Seenivasagan, Sufficient conditions for Janowski starlikeness, International Journal of Mathematics and Mathematical Sciences, Volume 2007, Article ID 62925, 7 pages.
  13. R. Aghalary, S. B. Joshi, Ram N. Mohapatra and V. Ravichandran, Subordinations for analytic functions defined by Dziok-Srivastava linear operator, Applied Mathematics and Computations, 187 (2007) 13-19
  14. Rosihan M. Ali, V. Ravichandran, N. Seenivasagan, Coefficient bounds for p-valent functions, Applied Mathematics and Computations, Volume 187 (2007) 35-46
  15. Rosihan M. Ali, V. Ravichandran, N. Seenivasagan, Subordination by convex functions, International Journal of Mathematics and Mathematical Sciences, Vol. 2006(2006), Article ID 62548, 1-6.
  16. B. Jayaramakrishnan, V. Rajesh and V. Ravichandran, On counting certain permutations used for speech scrambling, Journal of Physical Sciences, Vol. 17 No. 2 (2006), 131-139.
  17. Rosihan M. Ali, V. Ravichandran, M. Hussain Khan and K. G. Subramanian, Applications of first order differential superordinations to certain linear operators, Southeast Asian Bulletin of Mathematics, Vol. 30 (2006), 799-810.
  18. N. Seenivasagan, Rosihan M. Ali, V. Ravichandran, On Bernardi's integral operator and the Briot-Bouquet differential subordination, Journal of Mathematical Analysis and Applications, Vol. 324 (2006), 663-668.
  19. T. N. Shanmugam, C. Ramachandran, V. Ravichandran, Fekete-Szego problem for subclasses of starlike functions with respect to symmetric points, Bulletin of Korean Mathematical Society, Vol. 43 No. 3, (2006), 589-598 .
  20. T. N. Shanmugam, V. Ravichandran, S. Sivasubramanian, Differential sandwich theorems for some subclasses of analytic functions, Australian Journal of Mathematical Analysis, Vol. 3 No. 1 (2006), Article 8 (Electronic)
  21. Rosihan M. Ali, M. Hussain Khan, V Ravichandran, and K. G. Subramanian, A class of multivalent functions with negative coefficients defined by convolutions, Bulletin of Korean Mathematical Society, Vol. 43 No. 1 (2006), 179-188.
  22. V. Ravichandran, Herb Silverman, M. Hussain Khan, K. G. Subramanian, Radius problems for a class of analytic functions, Demonstratio Mathematica, Vol. 39 No. 1 (2006), pp. 67-74
  23. S. Sivaprasad Kumar, V. Ravichandran and H. C. Taneja, Classes of multivalent functions defined by Dziok-Srivastava linear operator and multiplier transformation, Kyungpook Mathematics Journal, Vol. 46, No. 1 (2006), 97-109.
  24. V. Ravichandran, Metin Bolcal, Yasar Polotoglu and A. Sen, Certain subclasses of starlike and convex functions of complex order, Hacettepe Journal of Mathematics and Statistics, Vol. 34 (2005), pp. 9-15.
  25. R. Aghalary, Rosihan M. Ali, S. B. Joshi and V. Ravichandran, Inequalities for analytic functions defined by certain linear operators, International Journal of Mathematical Sciences, Vol. 4 No. 2 (2005), 267-274.
  26. V. Ravichandran, M. Darus, M. Hussain Khan and K. G. Subramanian, Differential subordination associated with certain linear operators defined by multivalent functions, Acta Mathematica Vietnamica, Vol. 30, No. 2 (2005). MR2166701
  27. S. Sivaprasad Kumar, V. Ravichandran, and G. Murugusundaramoorthy, Classes of meromorphic p-valent functions with positive coefficients, Australian Journal of Mathematical Analysis, Vol. 2 No 2. (2005) Article No. 3. MR2161434
  28. V. Ravichandran and S. Sivaprasad Kumar, H. C. Taneja, Meromorphic functions with positive coefficients defined using convolution, Journal of Inequalities in Pure and Applied Mathematics, Vol. 6 No. 2, Article 58 (2005). MR2150912, Zbl pre02218575
  29. V. Ravichandran, Maslina Darus, N. Seenivasagan, Criteria for strong starlikeness, The Australian Journal of Mathematical Analysis and Applications, Vol. 2 No. 1 (2005), Article No 6. MR2133381 (2005k:30029), Zbl pre02157775
  30. V. Ravichandran, N. Marikkannan and Maslina Darus, On a class of analytic functions with positive coefficients defined by convolution, Mathematical (Cluj), Vol. 47(70), No. 1, (2005), 53-60. MR2165078
  31. V. Ravichandran and S. Sivaprasad Kumar, On sufficient conditions for starlikeness, South East Asian Bulletin of Mathematics, Vol. 29 (2005), 773-783.
  32. V. Ravichandran, N. Mahesh and R. Rajalakshmi, On certain applications of differential subordination for $\Phi$-like functions, Tamkang Journal of Mathematics, Vol. 36 No. 2, (2005) pp. 137--142. MR2147410 (2006a:30016), Zbl pre02220066
  33. Rosihan M. Ali, M. Hussain Khan, V Ravichandran, and K. G. Subramanian, A class of multivalent functions with positive coefficients defined by convolutions, Journal of Inequalities in Pure and Applied Mathematics, Vol. 6, No. 1. Article no. 22, 2005. MR2122931 (2006b:30020), Zbl pre02218539
  34. V. Ravichandran, A. Gangadharan, Maslina Darus, Fekete-Szego Inequality for certain class of Bazilevic functions, Far East Journal of Mathematical Sciences, Vol. 15 No. 2, (2004), 171-180. MR2133419, Zbl 1073.30011
  35. V. Ravichandran and S. Sivaprasad Kumar, On a class of analytic functions involving Carlson-Shaffer linear operator, Rivista di Mathematika Univ. Parma, Vol. 7, No. 3, (2004), pp. 35-48. MR2130409 (2005m:30016), Zbl pre02162695
  36. Rosihan M. Ali and V. Ravichandran, Differential subordination for certain meromorphic functions defined by a linear operator, Journal of Analysis and Applications, Vol.2 No. 3(2004), pp.149-158. MR2092639, Zbl 1066.30008
  37. Rosihan M. Ali, V. Ravichandran, M. Hussain Khan and K. G. Subramanian, Differential sandwich theorems for certain analytic functions, Far East Journal of Mathematical Sciences, Vol. 15 No. 1 (2004), 87-94. MR2115205 (2005h:30048), Zbl 1074.30022
  38. V. Ravichandran, Maslina Darus, M. Hussain Khan and K. G. Subramanian, Fekete-Szego Inequality for certain class of analytic functions, The Australian Journal of Mathematical Analysis and Applications, Vol. 1 No. 2, (2004), Article 4. MR2111255 (2005h:30027), Zbl pre02129133
  39. V. Ravichandran, Certain second order linear differential subordinations, Journal of Inequalities in Pure and Applied Mathematics, Vol. 5 No. 3., (2004), Article No. 59 (Electronic). MR2084869 (2005f:30048), Zbl 1059.30020
  40. V. Ravichandran, M. Hussain Khan, Maslina Darus and K. G. Subramanian, On sufficient conditions for strong starlikeness, The Australian Journal of Mathematical Analysis and Applications, Vol. 1, No. 1, Article 9, pages 1-6, 2004. MR2077666 (2005b:30018), Zbl 1069.30023
  41. V. Ravichandran, Herb Silverman, S Sivaprasad Kumar and K. G. Subramanian, On subordination for analytic functions defined by linear operator, International Journal of Mathematics and Mathematical Sciences, Vol. 2004 No. 42 (2004), pp. 2219-2230. MR2100102 (2005h:30050), Zbl pre02171586
  42. V. Ravichandran, S. Sivaprasad Kumar and K. G. Subramanian, Convolution conditions for spirallikenes and convex spirallikeness of certain meromorphic $p$-valent functions, Journal of Inequalities in Pure and Applied Mathematics, 5 (1) (2004), Article No. 11. MR2048487 (2004m:30023), Zbl 1062.30017
  43. V. Ravichandran, S. Sivaprasad Kumar, Maslina Darus, On a subordination theorem for a class of meromorphic functions, Journal of Inequalities in Pure and Applied Mathematics, 5 (1) (2004), Article No.8. MR2048484, Zbl 1049.30015
  44. T. N. Srikantha Dath, R. Ramachandran and V. Ravichandran, Achieving excellence in technical education -- a quality management system approach, Indian Journal of Technical Education, Vol. 27 No. 1 (2004), pp. 33-37.
  45. V. Ravichandran, Maslina Darus, On a class of α-convex functions, Journal of Analysis and Applications, 2 (1) (2004), 17-25. MR2038294 (2004k:30030)
  46. V. Ravichandran, Starlike and convex functions with respect to conjugate points, Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis, Vol. 20(1), 2004, 31-37. MR2129665, Zbl 1066.30015
  47. V. Ravichandran, On a series considered by Srinivasa Ramanujan, Mathematical Gazette, Mar 2004.
  48. V. Ravichandran, Certain applications of first order differential subordination, Far East Journal of Mathematical Sciences (FJMS), 12(1), Jan. 2004, 41-51. MR2026702 (2004j:30040), Zbl 1061.30014
  49. V. Ravichandran and M. Jayamala, On sufficient conditions for Caratheodory functions, Far East J Mathematical Sciences (FJMS), 12(2), Feb 2004, 191-201. MR2054082 (2005a:30023), Zbl 1074.30011
  50. V. Ravichandran, Functions starlike with respect to n-ply conjugate and symmetric conjugate points, Journal of Indian Academy of Mathematics, Vol. 26 (1), 2004 pp. 35--45. MR2119159, Zbl 1069.30022
  51. V. Ravichandran, N. Seenivasagan and Hari M. Srivastava, Some inequalities for associated with a linear operator defined for a class of meromorphic functions, Journal of Inequalities in Pure and Applied Mathematics, Vol. 4 (4), 2003. Article No 70. (Electronic.) MR2051571 (2004m:30022), Zbl 1054.30013
  52. V. Ravichandran and Maslina Darus, On a criteria for starlikeness, International Mathematical Journal, 4(2) (2003), 119 - 125. MR2013725
  53. V. Ravichandran, C. Selvaraj and Rajalakshmi Rajagopal, On uniformly convex spiral functions and uniformly spirallike functions, Soochow Journal of Mathematics, Vol. 29, No4, (2003), pp. 393-405. MR2021539, Zbl 1047.30007
  54. V. Ravichandran, Some sufficient conditions for starlike functions associated with parabolic regions, South East Asian Bulletin of Mathematics, Vol. 27, 2003, 697-703. MR2045377 (2005a:30022), Zbl 1053.30008
  55. V. Ravichandran, Narayanan Srinivasan, M. Jayamala and S. Sivagurunathan, Permutations for speech scrambling, Journal of Indian Academy of Mathematics, Vol. 25 (1), 2003, pp. 95-107. MR2054317 (2005d:94137), Zbl 1063.68087
  56. V. Ravichandran and Narayanan Srinivasan, Measures for permutation used for speech scrambling, Journal of Indian Academy of Mathematics, Vol 25 (2), 2003, pp. 251-259. MR2077825
  57. V. Ravichandran, On starlike functions with negative coefficients, Far East Journal of Mathematical Sciences (FJMS), Vol 8(3), 2003, 359-364. MR1977714 (2004c:30026)
  58. V. Ravichandran and Narayanan Srinivasan, Stable states and sufficient conditions for correct retrival in the bidirectional associative memories, IETE Journal of Research, Vol. 49 (1), 2003, pp. 55-58.
  59. Poorna Chandra, V. Ravichandran, Mapping of discrete cosine transform (DCT) and discrete sine transform (DST) based on symmetries, IETE Journal of Research, Vol. 49(1), 2003, pp. 35-42.
  60. N. Marikkannan and V. Ravichandran, Sum of powers of natural numbers using integration, Resonance: Journal of Science Education, Feb 2003.
  61. V. Ravichandran, On uniformly convex functions, Ganita, Vol 53(2), 117--124 (2002). MR1981967 (2004e:30023), Zbl 1065.30008
  62. V. Ravichandran, A. Gangadharan and T N Shanmugam, Sufficient conditions for starlikeness associated with parabolic regions, International Journal of Mathematics and Mathematical Sciences, Vol. 32(5), (2002), 319-324. MR1939274 (2003j:30029), Zbl 1014.30008
  63. V. Ravichandran, C. Selvaraj and Rajalakshmi Rajagopal, Sufficient conditions for functions of order α, Journal of Inequalities in Pure and Applied Mathematics, Vol. 3 (5), 2002, Article No. 81 (Electronic). MR1966516, Zbl 1028.30011
  64. A. Gangadharan, V. Ravichandran and T N Shanmugam, Radius of strong starlikeness of certain $p$-valent analytic functions. Zeszyty Nauk. Politech. Rzeszowskiej Mat., No. 24, (2000), 37--47 (2001). MR1824858 (2002d:30014), Zbl 0994.30010
  65. V. Ravichandran, F. Ronning, T N Shanmugam, Radius of convexity and radius of starlikeness for some classes of analytic functions,Complex Variables: Theory and Applications, vol. 33(1-4), 1997, pp. 265-280. MR1624955 (98m:30019), Zbl 0902.30007
  66. A. Gangadharan, V. Ravichandran and T N Shanmugam, Radii of convexity and strong starlikeness for some classes of analytic functions, Journal of Mathematical Analysis and Applications , vol. 211(1), 1997, pp. 301-313. MR1939274 (2003j:30029), Zbl 0894.30009
  67. M. S. Kasi and V. Ravichandran, On starlike functions with respect to N-ply conjugate and symmetric conjugate points, Journal of Mathematical and Physical Sciences, 30(1996), pp.307-316. MR1716130 (2000j:30018), Zbl 0938.30007
  68. T. N. Shanmugam and V. Ravichandran, Some applications of differential subordination, Indian Journal of Pure Applied Mathematics , 27(2), 1996, 165-172. MR1375138 (96m:30019), Zbl 0848.30015
  69. T. N. Shanmugam and V. Ravichandran, Radius problems for analytic functions, Chinese Journal of Mathematics, 23(4), 1995, pp. 343-351. MR1371463 (96j:30022), Zbl 0840.30004
  70. T. N. Shanmugam and V. Ravichandran, Certain properties of uniformly convex functions, Computational Methods and Function Theory, (R. M. Ali, St. Ruscheweyh \& E. B. Saff (Eds)), World Scientific, 1995, pp. 319-324. MR1415180 (97i:30020), Zbl 0868.30017
  71. T. N. Shanmugam and V. Ravichandran, On the radius of univalency of certain classes of analytic functions, Journal of Mathematical and Physical Sciences, 28(1), 1994, pp 43-51. MR1320435 (95m:30025), Zbl 0821.30011
  72. M. A. Gopalan and and V. Ravichandran, Note on the evaluation of \( \int _{0}^{x}\frac{1}{1+t^{2^{n}}}dt \), Mathematics Magazine, 67(1), 1994, pp. 53-54. Zbl 0875.26010
  73. V. Ravichandran and A Narayanan, On the criteria of divisibility, Mathematics Education, XXVII(1), 1993, pp 6-7. MR1255726, Zbl 0797.11001
  74. V. Ravichandran and A. Narayanan, Proofs for Ramanujan's formulas, Mathematics Education, XXVII(2), 1993, pp 125-126. MR1248110 (94m:11031), Zbl 0803.33012
  75. M. A. Gopalan and and V. Ravichandran, Elementary integration problems in Ramanujan's note books, Mathematical Education, 6(4) April-June 1990, pp 305-307.
  76. M. A. Gopalan and and V. Ravichandran, Fascinating problems in Ramanujan's note books, Mathematical Education, 7(1) July-Sep 1990, pp 81-84.
  77. N. Gnanasambandan, V. Ravichandran and R. Venkataraman, A geometric problem from Ramanujan's note books, Mathematical Education, 7(1) July-Sep 1990, pp 80-81.
Papers in Conference Proceedings
  1. Narayanan Srinivasan, V. Ravichandran, J R Vidya, S Ramakrishnan, S M Krishan, Exponentiated back-propagation algorithm for multi-layer neural networks, Proceedings of the 9th International Conference on Neural Information Processing (ICONIP'O2) , Vol. 1 ( Lip0 Wang, Jagath C. Rajapakse, Kunihiko Fukushima, Soo-Young Lee, and Xm Yao (Editors), November 18-22, Singapore, 2002), 327-331.
  2. V. Ravichandran, S. Sivaprasad Kumar and R. Usha, Meromorphic starlike functions with positive coefficients associated with parabolic regions,Proceeding of the Symposium on Geometric Function Theory -- 2002, Chennai, 2002, pp. 33--40.
  3. V. Ravichandran and N. Marikkannan, Functions with negative coefficients defined by convolution, Proceeding of the Symposium on Geometric Function Theory -- 2002, Chennai, 2002, pp. 49--56.
  4. V. Ravichandran, C. Selvaraj, Rajalakshmi Rajagopal, On certain functions defined by Ruscheweyh derivatives, Proceeding of the Symposium on Geometric Function Theory -- 2002, Chennai, 2002, pp. 57--62.
  5. N. Gunasekaran and R. Ramachandran and V Ravichandran, Performance analysis of the bidirectional associative memories, Proceeding of ECCAP-2000, (Ed.Vedam Subramanyam), Allied, Chennai,2002, pp 47-52.
  6. N. Gunasekaran, R. Ramachandran and V Ravichandran, On the stability of state vectors in bidirectional associative memories, Proceedings of the National Conference on Neural Networks and Fuzzy System, 23-25 July 2001, Madras, (Ed. K. M. Mehata), 2001, pp. 228-234.
  7. T. N. Shanmugam and V. Ravichandran, Certain subclasses of close-to-convex functions, Proceeding of the Indian Society of Industrial and Applied Mathematics Conference, Madras, pp E61-7.
  8. T. N. Shanmugam and V. Ravichandran, Uniformly convex functions, Proceedings of II Annual Conference of Tamil Nadu Science Congress, Chennai, 1994 (in Tamil).
Books Written/Proceedings Edited
  1. Rosihan M. Ali and V. Ravichandran, Complex Analysis, Penerbit Universiti Sains Malaysia ISBN 978-983-3986-11-8.
  2. Rosihan M. Ali, V. Ravichandran, Proceedings of the 2nd IMT-GT Regional Conference on Mathematics, Statistics and Applications Vol I: Pure Mathematics, (June 13-15, 2006, Penang, Malaysia), Universiti Sains Malaysia, 2006. ISBN 983-3391-86-9 (v. I) (Also co-edited the electronic proceedings consisting of all papers).
  3. Rosihan M. Ali, Anton Abdulbasah Kamil, Adam Baharum, Adli Mustafa, Ahmad Izani Md. Ismail, V. Ravichandran, Proceedings of the 2nd National Conference on Graphing Calculators, (Oct 4-6, 2004, Penang, Malaysia), Penerbit Universiti Sains Malaysia, 2004. ISBN 983-2514-70-3.
  4. V. Ravichandran, N Marikkannan, B Srutha Keerthi, A Vijayalakshmi, Mathematics for Engineers, D D Publications, Chennai, (2002).
  5. V. Ravichandran, N Marikkannan, Proceeding of the Symposium on Geometric Function Theory -- 2002, Chennai, 2002
  6. V. Ravichandran et al., Proceeding of the workshop on Graph Theory and Networks, 2000, Chennai.