Download e-book for kindle: An Introduction to Special Functions (UNITEXT) by Carlo Viola

By Carlo Viola

The matters handled during this booklet were particularly selected to symbolize a bridge connecting the content material of a primary direction at the ordinary idea of analytic capabilities with a rigorous remedy of a few of crucial certain 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 usually 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 simple techniques to the extent of an easy path protecting the residue theorem, Cauchy's crucial formulation, the Taylor and Laurent sequence expansions, poles and crucial singularities, department issues, etc. The booklet addresses the desires 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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