Second-order Hankel determinant for a subclass of analytic functions satisfying subordination condition connected with modified q-Opoola derivative operator

Year 2024, Volume: 73 Issue: 3, 695 - 704, 27.09.2024

Abdullah Alatawi , Maslina Darus

https://doi.org/10.31801/cfsuasmas.1318590

Abstract

This paper introduces a new subclass of analytic functions employing the operator that was recently defined by the authors. The coefficients estimate $|a_s| (s = 2, 3)$ of the Taylor-Maclaurin series in this new class, as well as the Fekete-Szegö functional problems, have been derived. Furthermore, we obtained the sharp upper bound for the functional $|a_2a_4 − a_{3}^2|$ for functions belonging to this new subclass

Keywords

Univalent functions, analytic function, q-calculus, Fekete-Szegö functional, Hankel determinant

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