Introduction to Special Functions for Applied Mathematics

Daniele Ritelli

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Hardback

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English

Chapman & Hall/CRC
19 September 2025

Complex analysis, complex variables; Functional analysis & transforms; Applied mathematics; Mathematical physics

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 economics

No previous background in complex analysis required

Numerous solved examples and exercises.

By: Daniele Ritelli
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 453g
ISBN: 9780367774691
ISBN 10: 0367774690
Pages: 247
Publication Date: 19 September 2025
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Forthcoming

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.