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

By R. B. Paris,D. Kaminski

Asymptotics and Mellin-Barnes Integrals, first released in 2001, presents an account of the use and homes of a kind of advanced crucial illustration that arises usually within the research of designated features mostly of curiosity in classical research and mathematical physics. After constructing the homes of those integrals, their use in settling on the asymptotic behaviour of targeted features is special. even supposing such integrals have a protracted background, the book's account contains contemporary learn ends up in analytic quantity concept and hyperasymptotics. The booklet additionally fills a niche within the literature on asymptotic research and particular capabilities via offering a radical account of using Mellin-Barnes integrals that's another way now not on hand in different general references on asymptotics.

Show description

Read Online or Download Asymptotics and Mellin-Barnes Integrals (Encyclopedia of Mathematics and its Applications) PDF

Best functional analysis books

Functional Spaces for the Theory of Elliptic Partial Differential Equations (Universitext)

The idea of elliptic boundary difficulties is prime in research and the function of areas of weakly differentiable services (also referred to as Sobolev areas) is vital during this idea as a device for analysing the regularity of the suggestions. This booklet bargains at the one hand an entire conception of Sobolev areas, that are of basic value for elliptic linear and non-linear differential equations, and explains however how the summary tools of convex research will be mixed with this idea to provide life effects for the ideas of non-linear elliptic boundary difficulties.

Recent Progress in Functional Analysis: Proceedings of the International Functional Analysis Meeting on the Occasion of the 70th Birthday of Professor ... 2000 (North-Holland Mathematics Studies)

This lawsuits quantity includes 32 articles on numerous attention-grabbing parts ofpresent-day practical research and its functions: Banach areas andtheir geometry, operator beliefs, Banach and operator algebras, operator andspectral concept, Frechet areas and algebras, functionality and series areas. The authors have taken a lot care with their articles and plenty of papers presentimportant effects and strategies in lively fields of analysis.

Local Minimization, Variational Evolution and Γ-Convergence (Lecture Notes in Mathematics)

This e-book addresses new questions relating to the asymptotic description of converging energies from the point of view of neighborhood minimization and variational evolution. It explores the hyperlinks among Gamma-limits, quasistatic evolution, gradient flows and reliable issues, elevating new questions and presenting new thoughts.

Sparse Approximation with Bases (Advanced Courses in Mathematics - CRM Barcelona)

This booklet systematically offers fresh primary effects on grasping approximation with recognize to bases. prompted through a number of functions, the decade has visible nice successes in learning nonlinear sparse approximation. fresh findings have validated that greedy-type algorithms are appropriate tools of nonlinear approximation in either sparse approximation with admire to bases and sparse approximation with appreciate to redundant platforms.

Extra info for Asymptotics and Mellin-Barnes Integrals (Encyclopedia of Mathematics and its Applications)

Sample text

Download PDF sample

Rated 4.75 of 5 – based on 17 votes