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

By Carlo Viola

The topics handled during this ebook were particularly selected to symbolize a bridge connecting the content material of a primary direction at the user-friendly concept of analytic features with a rigorous therapy of a few of an important certain capabilities: the Euler gamma functionality, the Gauss hypergeometric functionality, and the Kummer confluent hypergeometric functionality. Such distinctive capabilities are integral instruments in "higher calculus" and are often encountered in just about all branches of natural and utilized arithmetic. the single wisdom assumed at the a part of the reader is an figuring out of easy recommendations 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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