Special Functions: A Unified Theory Based on Singularities

ISBN-13: 9780198505730 / Angielski / Twarda / 2000 / 312 str.

S. Yu Slavyanov; Wolfgang Lay

Opis

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 Painleve 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 useful text and reference work.
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Recenzje

The main aim of the book is to be a tool for practical use for applied mathematicians, physicists and engineers. It offers a very systematic treatment, without too many proofs, and can be complemented by software that is available separately. The book has a lot of helpful pictures, diagrams and tables.

O autorze

Wolfgang Lay, Professor of Mathematics at the University of Stuttgart, Germany Sergei Yuryevitsh Slavyanov, Professor of Mathematics at the St. Petersburg State University, Russia