Introduction to Special Functions for Applied Mathematics

Introduction to Special Functions for Applied Mathematics introduces readers to the topic of special functions, with a particular focus on applications.

List of contents

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

About the author

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.

Product details

• Authors: Daniele Ritelli
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Release: 19.09.2025
• EAN: 9780367774691
• ISBN: 978-0-367-77469-1
• No. of pages: 272
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > General, dictionaries; MATHEMATICS / General, MATHEMATICS / Applied, SCIENCE / Physics / Mathematical & Computational, MATHEMATICS / Functional Analysis, MATHEMATICS / Complex Analysis, Mathematical physics, Complex analysis, complex variables, Applied mathematics, Functional analysis & transforms, Functional analysis and transforms, Applied Mathematics;Mathematics for Physics