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Introduction to Special Functions for Applied Mathematics

Autor Daniele Ritelli
en Limba Engleză Hardback – 18 sep 2025
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.
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Specificații

ISBN-13: 9780367774691
ISBN-10: 0367774690
Pagini: 260
Ilustrații: 12
Dimensiuni: 156 x 234 x 16 mm
Greutate: 0.64 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC

Public țintă

Postgraduate

Cuprins

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

Notă biografică

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.

Descriere

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