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- W4310973919 abstract "Due to its crucial role in handling issues with fractional order integral and differential equations, the unique transcendental operator known as a Mittag-Leffler function has drawn the interest of academics in recent years. Numerous writers have recently investigated the critical role of the Mittag-Leffler function or its generalizations as a resource to develop and discover novel univalent function subclasses in the theory of univalent functions. In this work, a power series that is a part of the renowned family of analytic functions 𝒜, in the unit disk 𝔻, is produced by normalizing a generalized Mittag-Leffler function 𝐸𝛼,𝛽𝜃(𝑧) by increasing by the factor 𝑧𝛤(𝛽). In order to determine if the new function belongs to the two spiral-like subclasses of univalent functions, (𝜉,𝛾,𝜌) and 𝒦(𝜉,𝛾,𝜌) developed and researched by Murugusundramoorthy, necessary requirements of its coefficients will first be determined. In order to determine the inclusion properties of the latter, we also consider the linear operator Λ𝛽𝛼𝑓(𝑧)=𝑓(𝑧)∗𝔼𝛼,𝛽𝜃(𝑧) connected to the convolution. The Alexander operator must meet certain requirements in this study in order to belong to the subclasses 𝒮(𝜉,𝛾,𝜌) and 𝒦(𝜉,𝛾,𝜌) when utilized with the broadest and normalized Mittag-Leffler 𝑧𝛤(𝛽)𝐸𝛼,𝛽𝜃(𝑧). Finally, we apply the findings from this study to some exceptional instances at particular values and make some observations about the error function 𝑒𝑟𝑓 (𝑧)." @default.
- W4310973919 created "2022-12-21" @default.
- W4310973919 creator A5067215383 @default.
- W4310973919 date "2022-12-10" @default.
- W4310973919 modified "2023-10-17" @default.
- W4310973919 title "Subclasses of Spiral-Like Functions Associated With the Generalized Mittag-Leffler Function" @default.
- W4310973919 doi "https://doi.org/10.31219/osf.io/69s74" @default.
- W4310973919 hasPublicationYear "2022" @default.
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