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By Carlo Viola

The matters taken care of during this publication were specifically selected to symbolize a bridge connecting the content material of a primary direction at the effortless thought of analytic capabilities with a rigorous therapy of a few of an important precise services: the Euler gamma functionality, the Gauss hypergeometric functionality, and the Kummer confluent hypergeometric functionality. Such unique features are crucial 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 knowing of uncomplicated suggestions to the extent of an uncomplicated direction overlaying the residue theorem, Cauchy's imperative 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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An Introduction to Special Functions (UNITEXT) by Carlo Viola

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