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 community 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.
