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September 18, 2025Contemporary Mathematics

The Univalency of analytic functions involving a Linear Operator defined by the Mittag-Leffler function and the Lambert series

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Authors

JSJamal SalahShaqra University

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Overview

This study uncovers properties of a new subclass of analytic functions, revealing implications for univalency and coefficient constraints.

Key Points

  • New subclass of analytic functions defined using the Mittag-Leffler function and Lambert series has been established.
  • Sufficient conditions for membership in the subclass are derived, focusing on properties such as univalency and starlikeness.
  • Key properties including extreme points and coefficient constraints have been examined to understand their implications.
  • Robin's inequalities help provide lower bounds for certain coefficients, enhancing the analysis of these functions.

Cite This Study

Jamal Salah (2025) studied this question.

synapsesocial.com/papers/68d463db31b076d99fa62cc1https://doi.org/10.37256/cm.6520256891
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1On Uniformly Starlike Functions with Respect to Symmetrical Points Involving the Mittag-Leffler Function and the Lambert Series2024 · 3 citations
  2. 2Properties of a Linear Operator Involving Lambert Series and Rabotnov Function2024
  3. 3Geometric properties of an integral operator associated with Mittag-Leffler functions2024
  4. 4Certain Subclass of Harmonic Multivalent Functions Defined by New Linear Operator2024
  5. 5On Mittag-Leffler Function and Consequent Fractional Integral Operator Inequalities2024 · 1 citations