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http://dx.doi.org/10.22771/nfaa.2022.27.02.09

BI-UNIVALENT FUNCTIONS CONNECTED WITH THE MITTAG-LEFFLER-TYPE BOREL DISTRIBUTION BASED UPON THE LEGENDRE POLYNOMIALS  

El-Deeb, Sheza M. (Department of Mathematics, College of Science and Arts Al-Badaya Qassim University, Department of Mathematics, Faculty of Science, Damietta University)
Murugusundaramoorthy, Gangadharan (Department of Mathematics, School of Advanced Sciences Vellore Institute Technology University)
Alburaikan, Alhanouf (Department of Mathematics, College of Science and Arts Al-Badaya Qassim University)
Publication Information
Nonlinear Functional Analysis and Applications / v.27, no.2, 2022 , pp. 331-347 More about this Journal
Abstract
In this paper, we introduce new subclasses of analytic and bi-univalent functions associated with the Mittag-Leffler-type Borel distribution by using the Legendre polynomials. Furthermore, we find estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3| for functions in these subclasses and obtain Fekete-Szegő problem for these subclasses. We also state certain new subclasses of Σ and initial coefficient estimates and Fekete-Szegő inequalities.
Keywords
Mittag-Leffler-type; Borel distribution; Legendre polynomials; q-derivative operator; Bi-univalent; coefficients bounds;
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Times Cited By KSCI : 1  (Citation Analysis)
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