Some properties of a generalized multiplier transform on analytic $p$-valent functions

Keywords: Analytic, Univalent, Multiplier transform, Differential operator, Growth and Distortion Theorem.

Abstract

UDC 517.5

For a function  $$f(z)=z^{p}+\sum^{\infty}_{k=1} a_{k+p}z^{k+p},$$ where $p\in\mathbb{N},$ the authors investigate some properties of a more general multiplier transform on analytic $p$-valent functions in an open unit disk. The applications of the obtained results to fractional calculus are pointed out, while several other corollaries follow as simple consequences.

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Published
08.11.2022
How to Cite
HamzatJ. O., and El-AshwahR. M. “Some Properties of a Generalized Multiplier Transform on Analytic $p$-Valent Functions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, no. 9, Nov. 2022, pp. 1274 -83, doi:10.37863/umzh.v74i9.6173.
Section
Research articles