Estimates for a Generalized Class of Analytic and Bi-univalent Functions Involving Two q-Operators

  • Ayotunde Olajide Lasode Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, PMB 1515, Ilorin, Nigeria
Keywords: analytic function, bi-univalent function, q-calculus, Bernardi q-integral operator, Fekete-Szegö functional

Abstract

By making use of $q$-derivative and $q$-integral operators, we define a class of analytic and bi-univalent functions in the unit disk $|z|<1$. Subsequently, we investigate some properties such as some early coefficient estimates and then obtain the Fekete-Szeg\"o inequality for both real and complex parameters. Further, some interesting corollaries are discussed.

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Published
2022-07-04
How to Cite
Lasode, A. O. (2022). Estimates for a Generalized Class of Analytic and Bi-univalent Functions Involving Two q-Operators. Earthline Journal of Mathematical Sciences, 10(2), 211-225. https://doi.org/10.34198/ejms.10222.211225
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Articles