• Corpus ID: 124634302

# An application of generalized Bessel functions on certain analytic functions

@inproceedings{Porwal2013AnAO,
title={An application of generalized Bessel functions on certain analytic functions},
author={Saurabh Porwal and K. K. Dixit},
year={2013}
}
• Published 2013
• Mathematics
The purpose of the present paper is to investigate some characterization for generalized Bessel functions of first kind to be in various subclasses of analytic functions. We also consider an integral operator related to the generalized Bessel function.
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## References

SHOWING 1-10 OF 15 REFERENCES
Geometric Properties of Generalized Bessel Functions
• Mathematics
• 2012
In this work, the generalized Bessel functions with their normal- ization are considered. Various conditions are obtained so that these Bessel functions have certain geometric properties including
Generalized Bessel Functions of the First Kind
We begin with a brief outline of Bessel functions, which will be needed in the next chapters. We recall here the Bessel, modified Bessel, spherical Bessel and modified spherical Bessel functions and
Geometric Properties of Generalized Bessel Functions 1
• Mathematics
• 2011
In this work, the generalized Bessel functions with their normalization are considered. Various conditions are obtained so that these Bessel functions have certain geometric properties including
A STUDY ON STARLIKE AND CONVEX PROPERTIES FOR HYPERGEOMETRIC FUNCTIONS
The objective of the present paper is to give some characterizations for a (Gaussian) hypergeometric function to be in various subclasses of starlike and convex functions. We also consider an
Univalent functions with negative coefficients
Coefficient, distortion, covering, and coefficient inequalities are determined for univalent functions with negative coefficients that are starlike of order a and convex of order a. Extreme points
ON CERTAIN SUBCLASSES OF UNIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS
• Mathematics
• 1994
The subclasses S*() and C*() (\$0\leqq\alpha) of T the class of analytic and univalent functions of the form have been considered. Sharp results concerning coefficients, distortion of functions
Starlike and Prestarlike Hypergeometric Functions
• Mathematics
• 1984
A linear operator is defined which acts on an analytic function in the open unit disk by forming its Hadamard product with an incomplete beta function. The operator is shown to be convenient in
On a class of univalent functions
We consider the class of univalent functions f( z)= z + a3z 3 + a4z 4 +··· ana- lytic in the unit disc and satisfying |(z2f � (z)/f 2(z))−1| < 1, and show that such functions are starlike if they