Connections between various subclasses of planar harmonic mappings involving Mittag-Leffler functions

DOI10.1007/s13370-024-01171-yMaRDI QIDQ6543349

F. Müge Sakar, Basem Aref Frasin, Naci Tasar

Publication date: 24 May 2024

Published in: Afrika Matematika (Search for Journal in Brave)

zbMATH Keywords

Mittag-Leffler functionanalytic functionsharmonic functionsunivalent functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Cites Work

• Harmonic functions starlike in the unit disk
• Über die Nullstellen der Funktionen \(E_\alpha (x)\).
• Sur la nouvelle fonction \(E_\alpha(x)\).
• Subclasses of starlike and convex functions involving Poisson distribution series
• Mapping properties of Janowski-type harmonic functions involving Mittag-Leffler function
• Subclass of analytic functions associated with Poisson distribution series
• Necessary and sufficient conditions for hypergeometric functions to be in a subclass of analytic functions
• Connections between various subclasses of planar harmonic mappings involving hypergeometric functions
• On the non-vanishing of the Jacobian in certain one-to-one mappings.
• Certain geometric properties of the Mittag-Leffler functions
• A Mittag-Leffler-type function of two variables
• Planar harmonic convolution operators generated by hypergeometric functions
• Univalence of Gaussian and Confluent Hypergeometric Functions
• Starlike and Prestarlike Hypergeometric Functions
• Harmonic univalent functions
• Some properties of a linear operator involving generalized Mittag-Leffler function
• Some applications of Mittag-Leffler function in the unit disk
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