An Introduction to Special Functions (UNITEXT) - download pdf or read online

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By Carlo Viola

ISBN-10: 3319413449

ISBN-13: 9783319413440

The topics handled during this e-book were particularly selected to symbolize a bridge connecting the content material of a primary direction at the uncomplicated conception of analytic features with a rigorous therapy of a few of crucial exact features: the Euler gamma functionality, the Gauss hypergeometric functionality, and the Kummer confluent hypergeometric functionality. Such designated features are quintessential instruments in "higher calculus" and are often encountered in just about all branches of natural and utilized arithmetic. the single wisdom assumed at the a part of the reader is an knowing of easy techniques to the extent of an trouble-free path overlaying the residue theorem, Cauchy's necessary formulation, the Taylor and Laurent sequence expansions, poles and crucial singularities, department issues, etc. The booklet addresses the wishes of complicated 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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