Download PDF by Carlo Viola: An Introduction to Special Functions (UNITEXT)

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By Carlo Viola

The matters handled during this ebook were specially selected to symbolize a bridge connecting the content material of a primary path at the trouble-free idea of analytic capabilities with a rigorous therapy of a few of an important specific services: the Euler gamma functionality, the Gauss hypergeometric functionality, and the Kummer confluent hypergeometric functionality. Such unique capabilities are imperative instruments in "higher calculus" and are often encountered in just about all branches of natural and utilized arithmetic. the one wisdom assumed at the a part of the reader is an realizing of uncomplicated techniques to the extent of an straight forward path protecting the residue theorem, Cauchy's quintessential formulation, the Taylor and Laurent sequence expansions, poles and crucial singularities, department issues, etc. The e-book addresses the wishes of complex undergraduate and graduate scholars in arithmetic or physics.

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An Introduction to Special Functions (UNITEXT) by Carlo Viola

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