ASYMPTOTIC METHODS FOR INTEGRALS

This book gives introductory chapters on the classical basic and standard methods for asymptotic analysis, such as Watson',s lemma, Laplace',s method, the saddle point and steepest descent methods, stationary phase and Darboux',s method. The methods, explained in great detail, will obtain asymptotic approximations of the well-known special functions of mathematical physics and probability theory. After these introductory chapters, the methods of uniform asymptotic analysis are described in which several parameters have influence on typical phenomena