International Journal of Analysis and Applications | 2026
Authors: Al-Rawashdeh W.
DOI: 10.28924/2291-8639-24-2026-147
Journal: International Journal of Analysis and Applications
Year: 2026
Publisher: Etamaths Publishing
Document Type: Article
Open Access: All Open Access; Gold Open Access
Cited by: 0
In this paper, we introduce a novel class of bi-univalent functions defined using the convolution of the normalized q-analogue of the Hurwitz–Lerch zeta function with the q-Srivastava–Attiya operator on the open unit disk D. Furthermore, this class is connected with bi-Bazilevic functions, pseudo-starlike functions, and the q-analogue of the hyperbolic tangent function. The primary objective is to estimate the initial coefficients in the Taylor expansion of functions belonging to this new class and some of its subclasses. In addition, we investigate the classical Fekete–Szegö functional problem for functions in this novel class. Finally, we present several corollaries that come from particular choices of the parameters defining this class. © 2026 the author(s).
bi-bazilevic; bi-univalent functions; coefficient estimates; convolution; Fekete-Szegö functional problem; Hadamard product; pseudo-starlike functions; q-analogue of Hurwitz-Lerch zeta function; q-analogue of hyperbolic tangent function; q-Srivastava-Attiya operator