A new subclass of bi-univalent functions of complex order defined by the symmetric q-derivative and subordination

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Published: 2025-04-20
DOI: https://doi.org/10.56947/gjom.v19i2.2649
Keywords:
Bi-univalent functions,, symmetric q-derivative operator, Chebyshev polynomials,, coefficient bounds,, Fekete-Szeg¨o inequalities.

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Mohammad El-Ityan
Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Jordan
Tariq Al-Hawary
Department of Applied Science, Ajloun College, Al Balqa Applied University, Jordan
Suha Hammad
Department of Mathematics, College of Education for Pure Sciences, University of Tikrit , Iraq
Basem Frasin
Department of Mathematics, Faculty of Science, Al al-Bayt University, Jordan

Abstract

In this paper, we introduce a new subclass of bi-univalent functions of complex order, using the symmetric q-derivative with subordination principles. We obtain upper bounds for the coefficients |c2|, |c3| and estimate an upper bound for the Fekete–Szegő problem within this new subclass ˜MΣq(t,ϱ,ζ).

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Vol. 19 No. 2 (2025)

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Articles

How to Cite

A new subclass of bi-univalent functions of complex order defined by the symmetric q-derivative and subordination. (2025). Gulf Journal of Mathematics, 19(2), 111-120. https://doi.org/10.56947/gjom.v19i2.2649