Research Publications


Communicated Manuscripts/Pre-prints:

  1. S. Kumar and V. Kumar, H. M. Srivastava and N. E. Cho, Hermitian-Toeplitz and Hankel determinants for starlike functions associated with a rational function, Mediterranean Journal of Mathematics.

  2. V. Kumar, A. Lecko and N. E. Cho, Moduli difference of successive inverse and logarithmic coefficients for Ma-Minda classes.

  3. V. Kumar, A. Lecko, V. Ravichandran and N. E. Cho, Initial coefficients of F-starlike and convex functions.

  4. D. Kumar, V. Kumar and L. N. Das, Hermitian-Toepltiz determinants and some coefficient functionals for the starlike functions, BIMS.

  5. V. Kumar and N. E. Cho, Subordination and superordination for multivalent functions associated with the Srivastava-Attiya operator.

Published/Accepted Manuscripts:

  1. V. Kumar, S. Kumar and N. E. Cho, Certain Coefficient functionals for Starlike functions of reciprocal order alpha, Thai J. Math. Accepted(Scopus, Web of Science)

  2. V. Kumar and N. E. Cho, On the difference of successive inverse and logarithmic co-efficients for close-to-convex functions, Asian-European Journal of Mathematics (2022). https://doi.org/10.1142/S1793557123500353. (Scopus, Web of Science)

  3. S. Kumar and V. Kumar, Sharp estimates on Hermitian-Toeplitz determinant for Sakaguchi classes, Communications of the Korean Mathematical Society (2022). https://doi.org/10.4134/CKMS.c210332 (Scopus, Web of Science).

  4. V. Kumar, R. Srivastava and N. E. Cho, Littlewood-Paley conjecture associated with certain classes of analytic functions, Bol. Soc. Mat. Mex. 28, 13 (2022). (Scopus, Web of Science). https://doi.org/10.1007/s40590-021-00404-5.

  5. V. Kumar, Moduli difference of successive inverse coefficients for certain classes of close-to-convex functions, Ricerche di Matematica(2021).(SCIE, IF. 1.034). https://doi.org/10.1007/s11587-021-00682-1.

  6. V. Kumar, S. Nagpal, and N. E. Cho, Coefficient functionals for non-Bazilevic functions,Revis ta de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 116(44) (2022). https://doi.org/10.1007/s13398-021-01185-2 (SCIE, IF. 2.169).

  7. V. Kumar and N. E. Cho, Hermitian-Toeplitz determinants for functions with bounded turning, Turkish J. Math., (2021) 45: 2678-2687 (SCIE, IF. 0.803)

  8. V. Kumar and S. Kumar, Bounds on Hermitian-Toeplitz and Hankel determinants for strongly starlike functions. Bol. Soc. Mat. Mex. 27, 55 (2021). https://doi.org/10.1007/s40590-021-00362-y (Scopus, Web of Science)

  9. V. Kumar, Hermitian-Toeplitz determinants for certain classes of close-to-convex functions, Bull. Iran. Math. Soc. (2021). https://doi.org/10.1007/s41980-021-00564-0. (SCIE, IF. 0.357)

  10. N. E. Cho, S. Kumar, and V. Kumar, Coefficient functionals for starlike functions associated with the modified sigmoid function and the Bell numbers, Asian-European Journal of Mathematics (2021). https://doi.org/10.1142/S1793557122500425.(Scopus, Web of Science)

  11. V. Kumar, R. Srivastava and N. E. Cho, Sharp estimation of Hermitian-Toeplitz determinants for Janowski type starlike and convex functions, Miskolc Mathematical Notes, Vol. 21 (2020), No. 2, pp. 939–952 (SCIE, Scopus, IF 0.667)

  12. N. E. Cho and V. Kumar, Initial coefficients and fourth Hankel determinant for certain analytic functions, Miskolc Mathematical Notes, Vol. 21 (2020), No. 2, pp. 763–779 (SCIE, Scopus, IF 0.667)

  13. N. E. Cho, and V. Kumar, Littlewood-Paley conjecture for certain classes of analytic functions, Bull. Iranian Math. Soc.(2020). https://doi.org/10.1007/s41980-020-00395-5. (SCIE, IF. 0.357)

  14. N. E. Cho and V. Kumar, On a coefficient conjecture for Bazilevič functions, Bull. Malays. Math. Sci. Soc., 43, 3083–3097(2020). https://doi.org/10.1007/s40840-019-00857-y (SCIE, Scopus, IF. 0.867)

  15. N. E. Cho, V. Kumar, O. S. Kwon and Y. J. Sim, Coefficient bounds for certain subclasses of starlike functions, Journal of Inequalities and Applications, (2019) 2019:276 13pp.(SCIE, Scopus, IF 0.966)

  16. N. E. Cho, V. Kumar and V. Ravichandran, Arc length for the Janowski classes, An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.) 65, 2019, 91–105 (Scopus, SNIF. 0.488)

  17. V. Kumar, N. E. Cho, V. Ravichandran and H. M. Srivastava, Sharp coefficient bounds for starlike functions associated with the Bell Numbers, Math. Slovaca 69(5), 1–12, 2019. (SCIE, IF. 0.654)

  18. N. E. Cho, V. Kumar and V. Ravichandran, A survey on coefficient estimates for Carathéodor functions, Applied Math. E-Notes, 19(2019), 370–396. (Scopus)

  19. J. H. Park, V. Kumar, N. E. Cho, A class involving derivatives of ratio of the analytic functions, J. Comp. Ana. App., Vol. 28, no. 3 (2020), 463–474.(Scopus)

  20. N. E. Cho, Sushil Kumar, V. Kumar and V. Ravichandran, Convolution and radius properties of certain analytic functions associated with the tilted Carathéodory functions, Math. Commun. 24(2019), 1–15. (SCIE, IF. 0.829)

  21. N. E. Cho, Sushil Kumar, V. Kumar and V. Ravichandran, Starlike functions related to the Bell numbers, Symmetry, 2019, 11(219); doi:10.3390/sym11020219. (SCIE, IF. 2.413)

  22. N. E. Cho, V. Kumar and J. H. Park, Sharp coefficient estimates for non-Bazilević functions, Journal of Computational Analysis and Applications, 27(7) (2019), 1103–1112. (Scopus)

  23. N. E. Cho, V. Kumar, O. S. Kwon and Y. J. Sim, Coefficient bounds for certain subclasses of p-valent analytic functions, Bull. Malays. Math. Sci. Soc. (2019) 42, 405–416. https://doi.org/10.1007/s40840-017-0587-4. (SCIE, Scopus, IF. 0.867)

  24. N. E. Cho, V. Kumar and J. H. Park, The coefficients of powers of Bazilević functions, Mathematics 2018, 6, 263; doi:10.3390/math6110263. (SCIE, IF. 1.105)

  25. N. E. Cho, V. Kumar and V. Ravichandran, Sharp bound on the higher order Schwarzian derivatives for Janowski classes, Symmetry 10(8), Art. 348, 2018, 13 pp.(SCIE, IF. 2.413)

  26. N. E. Cho, V. Kumar, S. Sivaprasad Kumar and V. Ravichandran, Radius problems for starlike functions associated with the Sine function, Bull. Iranian Math. Soc. 45 (1), 213–232, 2019. https://doi.org/10.1007/s41980-018-0127-5. (SCIE, Scopus, IF. 0.313)

  27. J. H. Park, V. Kumar and N. E. Cho, Sharp coefficient bounds for the quotient of analytic functions, Kyungpook Math. J. 58(2) (2018), 231–242. (Scopus, Mathematical Reviews, Zentralblatt Math., KSCI)

  28. V. Kumar, N. E. Cho, O. S. Kwon and Y. J. Sim, Radius estimates and convolution properties for analytic functions, Bull. Iranian Math. Soc. 44 (6)(2018),1627–1640. https://doi.org/10.1007/s41980-018-0112-z. (SCIE, Scopus, IF. 0.313)

  29. N. E. Cho, Sushil Kumar, V. Kumar and V. Ravichandran, Differential subordination and radius estimates for starlike functions associated with the Booth lemniscate, Turkish. J. Math. 42(2018), 1380–1399. (SCIE, Scopus, IF. 0.597)

  30. R. M. Ali, V. Kumar, V. Ravichandran and S. Sivaprasad Kumar, Radius constant for analytic functions with fixed second coefficient, Kyungpook Math. J. 57 (3)(2017), 473–492. (Scopus, Mathematical Reviews, Zentralblatt Math., KSCI)

  31. V. Kumar and S. Sivaprasad Kumar, On certain properties of meromorphic multivalent functions defined by a generalized differential operator, Acta Universitatis Apulensis, 47/2016, 147–158. (Mathematical Reviews, Zentralblatt Math.)

  32. S. Sivaprasad Kumar and V. Kumar, On the Fekete-Szegö inequality for certain class of analytic functions, Acta Universitatis Apulensis, 37/2014, 211–222. (Mathematical Reviews, Zentralblatt Math.)

  33. S. Sivaprasad Kumar, V. Kumar, V. Ravichandran and N. E. Cho, Sufficient conditions for starlike functions associated with the lemniscate of Bernoulli, Journal of Inequalities and Applications 2013 (2013), Art. 176, 13pp. (SCIE, Scopus, IF 0.966)

  34. S. Sivaprasad Kumar, V. Kumar and V. Ravichandran, Subordination and superordination for multivalent functions defined by linear operators, Tamsui Oxford Journal of Information and Mathematical Sciences 29(3) (2013), 361–387. (Scopus, Zentralblatt Math., MathSciNet)

  35. S. Sivaprasad Kumar and V. Kumar, Some sandwich results associated with a generalized linear operator, ROMAI J., v.9, no. 2(2013), 107–118. (Mathematical Reviews, Zentralblatt Math.)

  36. S. Sivaprasad Kumar and V. Kumar, Fekete-Szegö problem for a class of analytic functions defined by convolution, Tamkang Journal of Mathematics, 44(2013), no. 2, 187–195. (ESCI, Scopus, Math. Review, MathSciNet, Zentralblatt Math.)

  37. S. Sivaprasad Kumar and V. Kumar, Fekete-Szegö problem for a class of analytic functions, Stud. Univ. Babes-Bolyai Math. 58(2013), no. 2, 181–188. (Scopus, ESCI, Mathematical Review, MatSciNet, Zentralblatt Math.)

  38. S. Sivaprasad Kumar, V. Kumar and V. Ravichandran, Estimates for the initial coefficients of bi-univalent functions, Tamsui Oxford Journal of Information and Mathematical Sciences, 29(4) (2013) 487–504. (Scopus, Zentralblatt Math., MathSciNet)

Conference Proceedings:

  1. V. Kumar, S. Kumar and V. Ravichandran (2020), Third Hankel Determinant for Certain Classes of Analytic Functions. In: Deo N., Gupta V., Acu A., Agrawal P. (eds) Mathematical Analysis I: Approximation Theory. ICRAPAM 2018. Springer Proceedings in Mathematics & Statistics, vol 306. Springer, Singapore. https://doi.org/10.1007/978-981-15-1153-0_19

  2. S. Sivaprasad Kumar and V. Kumar, On the Fekete-Szegö Inequality for a Class of Analytic Functions Defined by Convolution, Proceedings of the International conference CMCGS-2012, held at Singapore during 30–31 January 2012, Doi: 10.5176/2251-1911_CMCGS59.