A family of multivalent analytic functions associated with Srivastava-Tomovski generalization of the Mittag-Leffler function

DOI10.2298/FIL1813619CzbMath1499.33076OpenAlexW2941995379WikidataQ128009715 ScholiaQ128009715MaRDI QIDQ5087875

Yi-Ling Cang, Jin-Lin Liu

Publication date: 4 July 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1813619c

zbMATH Keywords

subordinationanalytic functionHadamard product (convolution)Srivastava-Wright operatorFekete-Szegö inequalityconvex univalentSrivastava-Tomovski generalization of the Mittag-Leffler function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Mittag-Leffler functions and generalizations (33E12)

Cites Work

• Notes on Jung-Kim-Srivastava integral operator
• Criteria for univalence of the Dziok-Srivastava and the Srivastava-Wright operators in the class \(A\)
• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• Differential subordinations and univalent functions
• Laplace type integral expressions for a certain three-parameter family of generalized Mittag-Leffler functions with applications involving complete monotonicity
• Certain geometric properties of the Mittag-Leffler functions
• A Mittag-Leffler-type function of two variables
• Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
• Generalized convolution properties based on the modified Mittag-Leffler function
• Remarks on some families of fractional-order differential equations
• Some applications of Mittag-Leffler function in the unit disk
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