saddle-point method

saddle-point method

[′sad·əl ¦pȯint ‚meth·əd]
(mathematics)
steepest-descent method
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Keywords: analytic functions, Airy phenomena, asymptotics, coalescing saddle-point method, multivariable generating functions, polynomial canonical representations
In particular, the asymptotic analysis of the above integral is amenable for the saddle-point method to obtain uniform asymptotic expansions for the coefficients in (4) for ([n.
In order to apply the saddle-point method let 1 be the order of vanishing of F about (0; ([t.