Certain geometric properties of normalized Bessel functions
TLDR
A set of sufficient conditions are given for the normalized form of the generalized Bessel function to be univalent in the open unit disk, and certain inequalities containing normalized Bessel functions are obtained.About:
This article is published in Applied Mathematics Letters.The article was published on 2011-12-01 and is currently open access. It has received 29 citations till now. The article focuses on the topics: Bessel polynomials & Bessel process.read more
Citations
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Certain geometric properties of the Mittag-Leffler functions
Deepak Bansal,J. K. Prajapat +1 more
TL;DR: In this article, the Mittag-Leffler functions with their normalization are considered and sufficient conditions are obtained so that they have certain geometric properties including univalency, starlikeness, convexity and close-to-convexity in the open unit disk.
Journal ArticleDOI
Certain geometric properties of the Wright function
TL;DR: In this article, the Wright function with their normalizations is considered and several conditions are obtained so that it has certain geometric properties including univalency, starlikeness, convexity and close-to-convexity in the open unit disk.
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On Generalized Fractional Kinetic Equations Involving Generalized Bessel Function of the First Kind
TL;DR: In this paper, a new and further generalized form of the fractional kinetic equation involving generalized Bessel function of the first kind was developed, and the results obtained here are quite general in nature and capable of yielding a very large number of known and new results.
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Third-order differential subordination results for analytic functions involving the generalized Bessel functions
Huo Tang,Huo Tang,Erhan Deniz +2 more
TL;DR: In this paper, the authors derived third-order differential subordination results for analytic functions in the open unit disk, using the operator B κ c f by means of normalized form of the generalized Bessel functions of the first kind.
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Differential Subordinations Involving Generalized Bessel Functions
TL;DR: In this article, the authors present some subordination and superordination results, using an operator, which involves the normalized form of the generalized Bessel functions of first kind, and obtain also some sandwich-type results, and point out various known or new special cases of the main results.
References
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Second order differential inequalities in the complex plane
TL;DR: In this article, conditions on a complex function such that |h(w(z, zw′(z), z2w″(z))| 0 implies Re w(z) > 0 were given.
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Starlikeness and convexity of generalized Bessel functions
TL;DR: In this article, the authors give sufficient conditions for the parameters of the normalized form of the generalized Bessel functions to be convex and star-like in the open unit disk, which is the case for the Euler gamma function.
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Univalence of Bessel functions
TL;DR: In this paper, a radius of univalence for the normalized Bessel functions [J,(z) ]1Iv for values of v belonging to the region G defined by the inequalities (i v} > 0, I arg v| <7r/4.