Generalized Bessel Functions of the First Kind

• Main Author: Baricz, Árpád (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes in Mathematics, 1994
• Subjects: Mathematics.; Difference equations.; Functional equations.; Functions of complex variables.; Functions of real variables.; Special functions.; Special Functions.; Functions of a Complex Variable.; Real Functions.; Difference and Functional Equations.
• Physical Description: XII, 200 p. 15 illus. online resource.
• ISBN: 9783642122309
• ISSN: 0075-8434 ;

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.