Transmutation, Scattering Theory, and Special Functions

Orthogonal Polynomials and Special Functions: Computation and Applications
By Francisco Marcellàn, Walter van Assche
Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials?
Special Functions, $q$-Series and Related Topics
By Mourad Ismail, David R. Masson, Mizan Rahman
This book contains contributions from the proceedings at The Fields Institute workshop on Special Functions, q-Series and Related Topics that was held in June 1995.
Special Functions of Mathematics for Engineers
By Larry C. Andrews
This text systematically introduces special functions and explores their properties and applications in engineering and science.
Special Functions, KZ Type Equations, and Representation Theory
By Aleksandr Nikolaevich Varchenko
This book is intended for researchers and graduate students in mathematics and in mathematical physics, in particular to those interested in applications of special functions.