TY - BOOK ID - 18038645 TI - Special functions : a unified theory based on singularities AU - Slavjanov, Sergej Jur'evič AU - Lay, Wolfgang AU - Seeger, Alfred PY - 2003 SN - 0198505736 9780198505730 PB - New York (N.Y.) : Oxford university press, DB - UniCat KW - Functions, Special. UR - https://www.unicat.be/uniCat?func=search&query=sysid:18038645 AB - 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. ER -