The discussion centers on the search for expository resources that provide derivations of asymptotic expansions of special functions. A highly recommended book is "Advanced Mathematical Methods for Scientists and Engineers" by Bender and Orszag, which offers a clear presentation of these derivations. Participants note that while "lookup" books like Abramowitz and Stegun contain results, they lack detailed derivations and comprehensive references.
PREREQUISITESMathematicians, scientists, and engineers seeking in-depth understanding of asymptotic expansions and special functions, as well as educators looking for comprehensive teaching resources.
sheaf said:Can anyone recommend an expository book or article containing some of the derivations of the asymptotic expansions of special functions? Many of the "lookup" type books such as Abramovitz and Stegun contain the results but not the derivation of the results.