An Introduction to Special Functions (UNITEXT) by Carlo Viola

By Carlo Viola

The topics handled during this e-book were specifically selected to symbolize a bridge connecting the content material of a primary path at the uncomplicated concept of analytic services with a rigorous remedy of a few of crucial certain features: the Euler gamma functionality, the Gauss hypergeometric functionality, and the Kummer confluent hypergeometric functionality. Such exact capabilities are crucial 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 figuring out of easy recommendations to the extent of an basic path masking the residue theorem, Cauchy's crucial formulation, the Taylor and Laurent sequence expansions, poles and crucial singularities, department issues, etc. The e-book addresses the desires of complicated undergraduate and graduate scholars in arithmetic or physics.

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