A certain subclass of bi-univalent analytic functions introduced bymeans of the $q$-analogue of Noor integral operator and Horadam polynomials

Authors

ARZU AKGÜL
FETHİYE MÜGE SAKAR

Abstract

In the present study, by using the Horadam Polnomials and $q-$analogue of Noor integral oprerator, we target to construct an interesting connection between the geometric function theory and that of special functions. Also, by defining a new class of bi-univalent analytic functions, we investigate coefficient estimates and famous Fekete-Szegö inequality for functions belonging to this interesting class.

DOI

10.3906/mat-1905-17

Keywords

$q-$analogue of Noor integral operator, Horadam polynomials, bi-univalent functions

First Page

2275

Last Page

2286

Recommended Citation

AKGÜL, A, & SAKAR, F. M (2019). A certain subclass of bi-univalent analytic functions introduced bymeans of the $q$-analogue of Noor integral operator and Horadam polynomials. Turkish Journal of Mathematics 43 (5): 2275-2286. https://doi.org/10.3906/mat-1905-17