Coefficient Estimates of New Families of Analytic Functions Associated with q-Hermite Polynomials

In this paper, we introduce two new subclasses of bi-univalent functions using the q-Hermite polynomials. Furthermore, we establish the bounds of the initial coefficients υ2, υ3, and υ4 of the Taylor–Maclaurin series and that of the Fekete–Szegö functional associated with the new classes, and we giv...

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Bibliographic Details
Published inAxioms Vol. 12; no. 1; p. 52
Main Authors Al-Shbeil, Isra, Cătaş, Adriana, Srivastava, Hari Mohan, Aloraini, Najla
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.01.2023
Subjects
Analytic functions
Babalola operator
bi-univalent functions
Calculus
coefficient estimates
Convex analysis
Hermite polynomials
MacLaurin series
Mathematical analysis
Polynomials
q-convolution operator
q-Hermite
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Summary:In this paper, we introduce two new subclasses of bi-univalent functions using the q-Hermite polynomials. Furthermore, we establish the bounds of the initial coefficients υ2, υ3, and υ4 of the Taylor–Maclaurin series and that of the Fekete–Szegö functional associated with the new classes, and we give the many consequences of our findings.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12010052