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

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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Publication Details

Journal
Gulf Journal of Mathematics
Published
2025-04-20
DOI
https://doi.org/10.56947/gjom.v19i2.2649
Citations
2
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
8.18
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article

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

Tariq Al-Hawary, Basem Aref Frasin, Suha Hammad, Mohammad El-Ityan
2 citations
Gulf Journal of Mathematics
Analytic and geometric function theory
8.18
article

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

Tariq Al-Hawary, Basem Aref Frasin, Suha Hammad, Mohammad El-Ityan
article en
2 citations

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).

Gulf Journal of MathematicsVol. 19(2)
Al al-Bayt University (JO), Al-Balqa Applied University (JO), University of Tikrit (IQ)
Openalex Percentile: Top 3%
Analytic and geometric function theory
8.18
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