Generalized Bessel Functions of the First Kind

1. Front Matter

   Pages i-xiv

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2. Introduction and Preliminary Results

   • Árpád Baricz

   Pages 1-22

3. Geometric Properties of Generalized Bessel Functions

   • Árpád Baricz

   Pages 23-69

4. Inequalities Involving Bessel and Hypergeometric Functions

   • Árpád Baricz

   Pages 71-186

5. Back Matter

   Pages 187-212

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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

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)

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

  Árpád Baricz

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