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

By Carlo Viola

The topics handled during this ebook were in particular selected to symbolize a bridge connecting the content material of a primary path at the undemanding concept of analytic services with a rigorous therapy of a few of an important exact features: the Euler gamma functionality, the Gauss hypergeometric functionality, and the Kummer confluent hypergeometric functionality. Such detailed services are essential 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 innovations to the extent of an easy path protecting the residue theorem, Cauchy's crucial formulation, the Taylor and Laurent sequence expansions, poles and crucial singularities, department issues, etc. The booklet addresses the desires of complicated undergraduate and graduate scholars in arithmetic or physics.

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