http://ds.ramanujancollege.ac.in/jspui/handle/123456789/59 Research Papers of Mathematics Department Thu, 12 Feb 2026 11:41:18 GMT 2026-02-12T11:41:18Z http://ds.ramanujancollege.ac.in/jspui/handle/123456789/65 Title: Coefficient functionals for non-Bazilevič functions Authors: Kumar, V; Nagpal, S; Cho, N.E. Abstract: Sharp bounds on the second and third order Hermitian-Toeplitz determinants, initial logarithmic and inverse coefficients for functions in the class of non-Bazilevič functions are determined. Fri, 01 Jan 2021 00:00:00 GMT http://ds.ramanujancollege.ac.in/jspui/handle/123456789/65 2021-01-01T00:00:00Z http://ds.ramanujancollege.ac.in/jspui/handle/123456789/64 Title: Moduli difference of successive inverse coefficients for certain classes of close-to-convex functions Authors: Kumar, V Abstract: In this paper, we answer the questions raised in the paper [On the difference of inverse coefficients of univalent functions, Symmetry, 2020, 12(12), art. 2040, 14pp] by Sim and Thomas, and aim to verify the conjecture posed therein in certain cases. For this purpose, we investigate sharp bounds on moduli difference of successive inverse coefficients for certain classes of close-to-convex functions Fri, 01 Jan 2021 00:00:00 GMT http://ds.ramanujancollege.ac.in/jspui/handle/123456789/64 2021-01-01T00:00:00Z http://ds.ramanujancollege.ac.in/jspui/handle/123456789/63 Title: Littlewood-Paley conjecture associated with certain classes of analytic functions Authors: Kumar, V; Srivastava, R; Cho, N.E. Abstract: The Littlewood–Paley conjecture hardly holds for any subclass of univalent functions except the class of starlike functions as verified, in general, by the researchers until now. Therefore, it is interesting to consider the classes where the Littlewood–Paley conjecture holds completely or partially. For such investigation, the classes of normalized strongly α-close-to-convex functions and α-quasiconvex functions of order β are considered in this paper. In the main, bounds on the initial coefficients and related Fekete–Szegö inequalities are derived in this paper. Furthermore, it is seen that the Littlewood–Paley conjecture holds for all values of the parameter γ>0 in case of the first coefficient. However for the second coefficient, it holds for large positive values of γ. Relevant connections of our results with the existing results are also pointed out. Sat, 01 Jan 2022 00:00:00 GMT http://ds.ramanujancollege.ac.in/jspui/handle/123456789/63 2022-01-01T00:00:00Z http://ds.ramanujancollege.ac.in/jspui/handle/123456789/62 Title: Sharp estimates on Hermitian-Toeplitz determinant for Sakaguchi classes Authors: Kumar, S; Kumar, V Abstract: In this paper, sharp lower and upper bounds on the third order Hermitian-Toeplitz determinant for the classes of Sakaguchi functions and some of its subclasses related to right-half of lemniscate of Bernoulli, reverse lemniscate of Bernoulli and exponential functions are investigated. Sat, 01 Jan 2022 00:00:00 GMT http://ds.ramanujancollege.ac.in/jspui/handle/123456789/62 2022-01-01T00:00:00Z