H.M. Srivastava, M.M. Soren, Coefficient bounds for some analytic and bi-univalent functions with their inverses in different subclasses

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DOI: 10.23952/jnva.10.2026.1.07

Volume 10, Issue 1, 1 April 2026, Pages 163-180

Abstract. The present investigation in Geometric Function Theory of Complex Analysis is essentially motivated by the importance and usefulness of the coefficient bounds and the coefficient estimates for functions belonging to several analytic and univalent (and bi-univalent) function classes, such as the classes of starlike and convex functions as well as their bi-univalent associates. In this paper, the coefficient bounds are determined for the moduli $|a_2|$ , $|a_3|$ , and $|a_4|$ of the initial Taylor-Maclaurin coefficients $a_2$ , $a_3$ , and $a_4$ for some normalized analytic and bi-univalent functions where the functions and their inverses belong to distinct subclasses of analytic and bi-univalent functions. The these coefficient estimates are obtained by applying the familiar bound for the initial coefficient of the Carathéodory functions.

How to Cite this Article:
H.M. Srivastava, M.M. Soren, coefficient bounds for some analytic and bi-univalent functions with their inverses in different subclasses, J. Nonlinear Var. Anal. 10 (2026), 163-180.