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Generalized Bessel Functions of the First Kind de Árpád Baricz

Generalized Bessel Functions of the First Kind: Lecture Notes in Mathematics, cartea 1994

Autor Árpád Baricz
en Limba Engleză Paperback – 26 mai 2010
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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Specificații

ISBN-13: 9783642122293
ISBN-10: 3642122299
Pagini: 220
Ilustrații: XII, 200 p. 15 illus.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.32 kg
Ediția:2010
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

and Preliminary Results.- Geometric Properties of Generalized Bessel Functions.- Inequalities Involving Bessel and Hypergeometric Functions.

Recenzii

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)

Textul de pe ultima copertă

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.

Caracteristici

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