Download An Introduction to Special Functions (UNITEXT) by Carlo Viola PDF

By Carlo Viola

The topics handled during this booklet were specially selected to symbolize a bridge connecting the content material of a primary path at the effortless thought of analytic features with a rigorous remedy of a few of crucial designated services: the Euler gamma functionality, the Gauss hypergeometric functionality, and the Kummer confluent hypergeometric functionality. Such exact services are critical instruments in "higher calculus" and are usually 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 innovations to the extent of an basic direction overlaying the residue theorem, Cauchy's fundamental formulation, the Taylor and Laurent sequence expansions, poles and crucial singularities, department issues, etc. The e-book addresses the wishes of complex undergraduate and graduate scholars in arithmetic or physics.

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