Generalized Bessel Functions of the First Kind / Edition 1

by Árpád Baricz

Overview

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.

Product Details

ISBN-13:	9783642122293
Publisher:	Springer Berlin Heidelberg
Publication date:	05/25/2010
Series:	Lecture Notes in Mathematics , #1994
Edition description:	2010
Pages:	212
Product dimensions:	6.00(w) x 9.00(h) x 0.50(d)

Table of Contents

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

Editorial Reviews

From the reviews:

“In this book, which is based on the author’s 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)

From the Publisher