Introduction to Special Functions for Applied Mathematics introduces readers to the topic of special functions, with a particular focus on applications.
Introduction to Special Functions for Applied Mathematics introduces readers to the topic of special functions, with a particular focus on applications. Designed to build swiftly from the more basic special functions towards more advanced material, the book is ideally suited for an intensive one semester course. Complemented with various solved examples and exercises to support students and instructors, the book can be used for both self-study and directed learning.
Features
Suitable for graduate level students or beginning PhD students in mathematics, physics, statistics, and economicsNo previous background in complex analysis requiredNumerous solved examples and exercises.
Preface 1 Preliminaries 2 Gamma and Beta functions 3 Digamma, Trigamma
and Polygamma 4 Digamma, Trigamma and Polygamma 5 A synopsis on second order
linear ODE 6 Airy and Hermite functions 7 Bessel functions: part 1 8 Bessel
functions: part 2 9 Gauss hypergeometric function 10 Generalized
Hypergeometric functions of one variable 11 Applications and exercises
Bibliography Analytic Index
Daniele Ritelli is an Associate Professor of mathematical analysis at the Department of Statistical Sciences of the University of Bologna in Italy. He teaches ordinary and partial differential equations and special functions in various undergraduate and master's degree courses in statistics and quantitative finance. His research interests concern special functions, generalised trigonometric functions, ordinary differential equations, and applied mathematics.
