© 2010

Generalized Bessel Functions of the First Kind

  • 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


Part of the Lecture Notes in Mathematics book series (LNM, volume 1994)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Árpád Baricz
    Pages 1-22
  3. Back Matter
    Pages 187-212

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.


Bessel functions DEX Hypergeometric function Volume function functional functional inequalities functions hypergeometric functions modified Bessel functions

Authors and affiliations

  1. 1., Department of EconomicsBabes-Bolyai UniversityCluj-NapocaRomania

Bibliographic information


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)