Lecture Notes in Mathematics

Generalized Bessel Functions of the First Kind

Authors: Baricz, Árpád

  • Includes a systematic description of various Bessel functions of the first kind
  • 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
see more benefits

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-642-12230-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.95
price for USA
  • ISBN 978-3-642-12229-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

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)

Table of contents (2 chapters)

  • Geometric Properties of Generalized Bessel Functions

    Árpád Baricz

    Pages 23-69

  • Inequalities Involving Bessel and Hypergeometric Functions

    Árpád Baricz

    Pages 71-186

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-642-12230-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.95
price for USA
  • ISBN 978-3-642-12229-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Generalized Bessel Functions of the First Kind
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1994
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-12230-9
DOI
10.1007/978-3-642-12230-9
Softcover ISBN
978-3-642-12229-3
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XII, 200
Number of Illustrations and Tables
15 b/w illustrations
Topics