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 uncomplicated conception of analytic capabilities with a rigorous remedy of a few of an important certain features: the Euler gamma functionality, the Gauss hypergeometric functionality, and the Kummer confluent hypergeometric functionality. Such specified features are essential 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 easy recommendations to the extent of an straightforward path masking the residue theorem, Cauchy's imperative formulation, the Taylor and Laurent sequence expansions, poles and crucial singularities, department issues, etc. The ebook addresses the desires of complicated undergraduate and graduate scholars in arithmetic or physics.
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An Introduction to Special Functions (UNITEXT) by Carlo Viola