Special Functions: A Unified Theory Based on Singularities
Sergei Yu. Slavyanov, Wolfgang Lay
The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the complex domain. The number and characteristics ofthe singularities serve as a basis for classification of each individual special function. Links between linear special functions (as solutions of linear second-order equations), and non-linear special functions (as solutions of Painlevé equations) are presented as a basic and new result. Manyapplications to different areas of physics are shown and discussed. The book is written from a practical point of view and will address all those scientists whose work involves applications of mathematical methods. Lecturers, graduate students and researchers will find this a useful text andreference work.
Catégories:
Année:
2000
Editeur::
Oxford University Press, USA
Langue:
english
Pages:
312
ISBN 10:
0198505736
ISBN 13:
9780198505730
Collection:
Oxford Mathematical Monographs
Fichier:
DJVU, 2.57 MB
IPFS:
,
english, 2000