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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 user-friendly idea of analytic features with a rigorous therapy of a few of crucial unique capabilities: the Euler gamma functionality, the Gauss hypergeometric functionality, and the Kummer confluent hypergeometric functionality. Such unique capabilities are fundamental 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 knowing of easy innovations to the extent of an undemanding path protecting the residue theorem, Cauchy's indispensable formulation, the Taylor and Laurent sequence expansions, poles and crucial singularities, department issues, etc. The publication addresses the wishes of complicated undergraduate and graduate scholars in arithmetic or physics.

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