Series of Bessel and Kummer-Type Functions - Árpád Baricz Dragana Jankov Masirevic Tibor K Pogány Kartoniert (TB)

This book is devoted to the study of certain integral representations for Neumann Kapteyn Schlömilch Dini and Fourier series of Bessel and other special functions such as Struve and von Lommel functions. The aim is also to find the coefficients of the Neumann and Kapteyn series as well as closed-form expressions and summation formulas for the series of Bessel functions considered. Some integral representations are deduced using techniques from the theory of differential equations. The text is aimed at a mathematical audience including graduate students and those in the scientific communi ty who are interested in a new perspective on Fourier-Bessel series and their manifold and polyvalent applications mainly in general classical analysis applied mathematics and mathematical physics.