Generalized Bessel functions of the first kind / Árpád Baricz

Auteur principal : Baricz, Árpád, 1981-, AuteurType de document : MonographieCollection : Lecture notes in mathematics, 1994Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer, cop. 2010Description : 1 vol. (XIV-206 p.) : fig. ; 24 cmISBN: 9783642122293.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 193-202. Index.Sujet MSC : 33-02, Research exposition (monographs, survey articles) pertaining to special functions
33C10, Special functions - Hypergeometric functions, Bessel and Airy functions, cylinder functions, 0F1
30C45, Functions of a complex variable - Geometric function theory, Special classes of univalent and multivalent functions of one complex variable
26D07, Real functions - Inequalities in real analysis, Inequalities involving other types of functionsEn-ligne : Springerlink | Zentralblatt | MathSciNet
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Bibliogr. p. 193-202. Index

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. (Source : Springer)

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