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October 27, 20250 citations

A Study on Analytic Functions Associated with the Generalized Hurwitz-Lerch zeta Function

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AAAfaf A. Ali Abubaker

Key Points

  • New subclasses of analytic functions demonstrate promising relationships to the generalized Hurwitz-Lerch zeta function, enhancing theoretical understanding.
  • The study establishes inclusion relationships among these subclasses, highlighting their interconnections through analytic properties.
  • Analysis involves the use of an integral operator, laying foundational work for future explorations in complex analysis.
  • The findings may enable further investigations into specialized analytic techniques and their applications within mathematical frameworks.

Abstract

In this study, we introduce and investigate new subclasses of analytic functions that are closely related to the generalized Hurwitz-Lerch zeta function. We establish certain inclusion relationships among these classes, and also consider the application of an associated integral operator within this context.

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Cite This Study

Afaf A. Ali Abubaker (2025) studied this question.

synapsesocial.com/papers/68ff87e9c8c50a61f2bdd24bhttps://doi.org/10.26629/uzjns.2025.09
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