Overview
- This book includes a systematic description of various Bessel functions of the first kind
- It contains a special chapter on geometric properties of generalized Bessel functions of the first kind
- A large number of functional inequalities involving Bessel and hypergeometric functions are collected
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1994)
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About this book
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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Table of contents (3 chapters)
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)Authors and Affiliations
Bibliographic Information
Book Title: Generalized Bessel Functions of the First Kind
Authors: Árpád Baricz
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-12230-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2010
Softcover ISBN: 978-3-642-12229-3Published: 26 May 2010
eBook ISBN: 978-3-642-12230-9Published: 17 June 2010
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 200
Number of Illustrations: 15 b/w illustrations
Topics: Special Functions, Functions of a Complex Variable, Real Functions, Difference and Functional Equations