Applications of Hurwitz-Lerch Zeta Function to a Certain Class of Bi-Bazilevic and Pseudo-Starlike Functions

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DOI: https://doi.org/10.28924/2291-8639-24-2026-147
Published: May 11, 2026
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Waleed Al-Rawashdeh, Applications of Hurwitz-Lerch Zeta Function to a Certain Class of Bi-Bazilevic and Pseudo-Starlike Functions, Int. J. Anal. Appl., 24 (2026), 147.

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Waleed Al-Rawashdeh

Abstract

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.

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References

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