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Formulas and Theorems for the Special Functions of Mathematical Physics (3rd Ediion) by Dr. Wilhelm Magnus, Dr. Fritz Oberhettinger, Dr. Raj Pal Soni
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About this book :-
Formulas and Theorems for the Special Functions of Mathematical Physics (3rd Ediion)
Wilhelm Magnus, Fritz Oberhettinger, Raj Pal Soni .
This is a new and enlarged English edition of the book which, under the title "Formeln und Satze fur die Speziellen Funktionen der mathematischen Physik" appeared in German in 1946. Much of the material (part of it unpublished) did not appear in the earlier editions. We hope that these additions will be useful and yet not too numerous for the purpose of locating .with ease any particular result. Compared to the first two (German) editions a change has taken place as far as the list of references is concerned. They are generally restricted to books and monographs and accomodated at the end of each individual chapter. Occasional references to papers follow those results to which they apply. The authors felt a certain justification for this change. At the time of the appearance of the previous edition nearly twenty years ago much of the material was scattered over a number of single contributions. Since then most of it has been included in books and monographs with quite exhaustive bibliographies.
For information about numerical tables the reader is referred to "Mathematics of Computation", a periodical published by the American Mathematical Society; "Handbook of Mathematical Functions" with formulas, graphs and mathematical tables National Bureau of Standards Applied Mathematics Series, 55, 1964, 1046 pp., Government Printing Office, Washington, D.C., and FLETCHER, MILLER, ROSENHEAD, Index of Mathematical Tables, Addison-Wesley, Reading, Mass.).
Book Detail :-
Title: Formulas and Theorems for the Special Functions of Mathematical Physics
Edition: Third Edition
Author(s): Wilhelm Magnus, Fritz Oberhettinger, Raj Pal Soni
Publisher: Springer Berlin Heidelberg
Series:
Year: 1966
Pages: 516
Type: PDF
Language: English
ISBN: 978-3-662-11763-7,978-3-662-11761-3
Country: US
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About Author :-
The author Dr. Wilhelm Magnus is Professor at the New York University, Courant Institute of Mathematical Sciences and
Dr. Fritz Oberhettinger is Professor at the Oregon State University, Department of Mathematics and
Dr. Raj Pal Soni is Mathematician, International Business Machines Corporation.
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Book Contents :-
Formulas and Theorems for the Special Functions of Mathematical Physics (3rd Ediion)
Wilhelm Magnus, Fritz Oberhettinger, Raj Pal Soni
cover the following topics.
1. The gamma function and related functions
2. The hypergeometric function
3. Bessel functions
4. Legendre functions
5. Orthogonal polynomials
6. Kummer's function
7. Whittaker function
8. Parabolic cylinder functions and parabolic
9. The incomplete gamma function and special cases.
10. Elliptic integrals, theta functions and elliptic
11. Integral transforms
12. Transformation of systems of coordinates
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