Generalized Bessel Functions of the First Kind [Paperback]

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.This volume studies the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. It presents interesting geometric properties and functional inequalities for these generalized 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.and Preliminary Results.- Geometric Properties of Generalized Bessel Functions.- Inequalities Involving Bessel and Hypergeometric Functions.

From the reviews:

In this book, which is based on the authors Ph.D. thesis with the same title & the author studies the class B from several points of view. & Approximately one-third of the book deals with questions related to or motivated by the classical theory of univalent functions. & The style is very clear and carefully designed pictures facilitate the reading. & interest for researchers of classical analysis working in the field of univalent function theory or inequalities for functions defined on the real axis. (Matti Vuorinen, Mathematical Reviews, Issue 2011 f)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 interlãl