Touchard Polynomials and the Identified New Subclass of Analytic Functions

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DOI: https://doi.org/10.28924/2291-8639-24-2026-46
Published: Feb 19, 2026
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Omar Alnajar, Maslina Darus, Ala Amourah, Abdullah Alsoboh, Touchard Polynomials and the Identified New Subclass of Analytic Functions, Int. J. Anal. Appl., 24 (2026), 46.

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Omar Alnajar, Maslina Darus, Ala Amourah, Abdullah Alsoboh

Abstract

A new analytic function, which includes Touchard polynomials, is presented here as part of this work. Subsequently, we endeavour to derive appraisals for the |d2|, |d3| Maclaurin coefficients with respect to this particular subfamily, as well as the Fekete-Szegö functional problem that is associated with it. Moreover, by elaborating on the parameters that were utilised in our primary findings, a multitude of new results are demonstrated below.

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