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Analytic and geometric function theoryApproximation Theory and Sequence SpacesAdvanced Mathematical Theories and Applications

A new subclass of bi-univalent functions governed by Horadam polynomials

B. Frasin, Nandini Parashivamurthy, L. Satyanarayana

2026.4.14Mathematica Bohemica

DOI: 10.21136/mb.2026.0057-25

Abstract

. Using the q -derivative operator, we define a new subclass of bi-univalent functions associated with Horadam polynomials. Furthermore, we obtain estimates for the initial Taylor-Maclaurin coefficients of functions in this class and an estimate for the Fekete-Szegö problem for the same class.

Citation format

FRASIN, B.; PARASHIVAMURTHY, Nandini; SATYANARAYANA, L. A new subclass of bi-univalent functions governed by horadam polynomials. Mathematica Bohemica, 2026: 1–12.