Chapter 18: Two-point Taylor expansions
In the derivation of uniform asymptotic expansions of integrals we often encounter the problem of expanding a function in two points. It seems that in Chester et al. (1957) this type of expansion has been used for the first time in asymptotic analysis. It was used to derive Airy-type expansions for integrals that have two nearby (or coalescing) saddle points. This reference does not give further details about two-point Taylor expansions…