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.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Postgraduate
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Illustrationen
6 s/w Abbildungen, 6 s/w Zeichnungen
6 Line drawings, black and white; 6 Illustrations, black and white
Maße
Höhe: 234 mm
Breite: 156 mm
Dicke: 16 mm
Gewicht
ISBN-13
978-0-367-77469-1 (9780367774691)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
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.
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
