Topic #11 --------------- OP-SF NET --------------- September 7, 1995 ~~~~~~~~~ From: Andre RonveauxSubject: New book on Heun's differential equations The following book will appear in October 1995: Heun's Differential Equations Andre Ronveaux (ed.) with contributions by F.M. Arscott, S.Yu. Slavyanov. D. Schmidt, G. Wolf, P. Maroni and A. Duval Oxford University Press, October 1995, 368 pages, IBSN 859695-2 About the book: Heun's equation is a linear second-order differential equation which occurs in a wide range of problems in applied mathematics. This differential equation with four regular singular points generates by confluence four different differential equations. Areas in which these equations occur include the integral equations of potential theory, wave propagation, electrostatic oscillation, and Schrodinger's equation. A recent symposium on the topic surveyed both the current theory and also the main areas of application. The book is a commissioned collection of edited papers from contributors to the symposium.