Special Functions - A Unified Theory Based on Singularities

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 of the 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. Many applications 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 valuable text and reference work.

Dettagli sul prodotto

• Autori: Wolfgang Lay, S Iu Slavianov, S. Iu Slavianov, S.yu Lay Slavyanov, Sergei Yu Slavyanov, Sergei Yuryevitsh Slavyanov, Sergei Yuryevitsh (St Petersburg State Slavyanov, Sergei Yuryevitsh Lay Slavyanov
• Editore: Oxford University Press
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 01.10.2000
• EAN: 9780198505730
• ISBN: 978-0-19-850573-0
• Pagine: 312
• Serie: Oxford Mathematical Monographs; Oxford Mathematical Monographs
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi