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Generalized Bessel Functions of the First Kind

by Baricz, Árpád.
Authors: SpringerLink (Online service) Series: Lecture Notes in Mathematics, 0075-8434 ; . 1994 Physical details: XII, 200p. online resource. ISBN: 3642122302 Subject(s): Mathematics. | Functional equations. | Functions of complex variables. | Functions, special. | Mathematics. | Special Functions. | Functions of a Complex Variable. | Real Functions. | Difference and Functional Equations.
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E-Book E-Book AUM Main Library 515.5 (Browse Shelf) Not for loan

and Preliminary Results -- Geometric Properties of Generalized Bessel Functions -- Inequalities Involving Bessel and Hypergeometric Functions.

In this volume we study the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. Our aim is to present interesting geometric properties and functional inequalities for these generalized Bessel functions. Moreover, we extend many known inequalities involving circular and hyperbolic functions to Bessel and modified Bessel functions.

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