Certain geometric properties of the Mittag-Leffler functions

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Abstract

In the present investigation, the Mittag-Leffler functions with their normalization are considered. Several sufficient conditions are obtained so that the Mittag-Leffler functions have certain geometric properties including univalency, starlikeness, convexity and close-to-convexity in the open unit disk. Partial sums of Mittag-Leffler functions are also studied. The results obtained are new and their usefulness is depicted by deducing several interesting corollaries and examples.

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Authors

Deepak Bansal

Bikaner Technical University

Jugal K. Prajapat

Central University of Rajasthan

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Complex Variables and Elliptic Equations

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Central University of Rajasthan

Bikaner Technical University

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Bansal et al. (Thu,) studied this question.

synapsesocial.com/papers/6a0f150053f874f2b22323f6 — DOI: https://doi.org/10.1080/17476933.2015.1079628

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A class of univalent functions· 1964 · 67 citations
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Also consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

Certain geometric properties of the Wright function· 2014 · 59 citations
On the theory of multivalent functions· 1987 · 158 citations
On the Limits of the Roots of an Algebraic Equation with Positive Coefficients· 1912 · 102 citations
A class of univalent functions· 1964 · 67 citations
Über den Fundamentalsatz in der Teorie der Funktionen Ea(x)· 1905 · 613 citations

Certain geometric properties of the Mittag-Leffler functions

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Abstract

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Authors

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References and Citations

Citation Network

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Discussion

Cite this study

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