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February 14, 2026Filomat0 citationsOpen Access

Coefficient inequality for a novel bi-univalent function subclass associated with Krawtchouk polynomials

HOHalit OrhanMÇMurat ÇağlarHAHava Arıkan

Key Points

  • The aim is to present a new subclass of bi-univalent functions related to Krawtchouk polynomials and derive coefficient inequalities.
  • Introduced a subclass of bi-univalent functions in the open unit disk.
  • Examined subordination requirements for the functions within this subclass.
  • Derived estimates for the Fekete-Szegö inequality and Taylor-Maclaurin coefficients.
  • Estimates for the Fekete-Szegö inequality were successfully derived.
  • Analyzed the Taylor-Maclaurin coefficients |a_2| and |a_3| for the new subclass.

Abstract

In this research, we present and study a new subclass of bi-univalent functions related to the Krawtchouk polynomials that meet subordination requirements seen in the open unit disk, a symmetric domain. We derive estimates for the Fekete-Szeg? inequality |a₃ - a₂|² and the Taylor-Maclaurin coefficients |a₂|, |a₃| for this new subclass.

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Cite This Study

Orhan et al. (2025) studied this question.

synapsesocial.com/papers/699011b32ccff479cfe589f7https://doi.org/10.2298/fil2518215o
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