Asymptotics and Mellin-Barnes Integrals (Encyclopedia of by R. B. Paris,D. Kaminski

By R. B. Paris,D. Kaminski

Asymptotics and Mellin-Barnes Integrals, first released in 2001, offers an account of the use and homes of one of those complicated critical illustration that arises often within the examine of particular capabilities normally of curiosity in classical research and mathematical physics. After constructing the houses of those integrals, their use in deciding on the asymptotic behaviour of specific features is precise. even if such integrals have an extended historical past, the book's account comprises fresh learn leads to analytic quantity idea and hyperasymptotics. The publication additionally fills a niche within the literature on asymptotic research and unique capabilities by way of offering an intensive account of using Mellin-Barnes integrals that's in a different way no longer on hand in different regular references on asymptotics.

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