Skip to main content

Generalized Bessel Functions of the First Kind

  • Book
  • © 2010

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)

This is a preview of subscription content, log in via an institution to check access.

Access this book

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (3 chapters)

Keywords

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)

Authors and Affiliations

  • , Department of Economics, Babes-Bolyai University, Cluj-Napoca, Romania

    Árpád Baricz

Bibliographic Information

Publish with us