The discussion centers around recommendations for books or articles that provide derivations of asymptotic expansions of special functions, rather than just results. The focus is on expository texts suitable for understanding the underlying principles and methods.
Participants appear to agree on the need for resources that provide derivations, but there is no consensus on specific recommendations beyond the mention of Bender and Orszag's book.
Some participants express concern about the lack of derivations in commonly referenced texts like Abramowitz and Stegun, indicating a potential limitation in the resources available for deeper understanding.
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.