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

By Carlo Viola

The matters handled during this e-book were in particular selected to symbolize a bridge connecting the content material of a primary path at the effortless idea of analytic features with a rigorous remedy of a few of an important designated features: the Euler gamma functionality, the Gauss hypergeometric functionality, and the Kummer confluent hypergeometric functionality. Such distinct services are necessary 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 realizing of easy innovations to the extent of an common direction masking the residue theorem, Cauchy's vital formulation, the Taylor and Laurent sequence expansions, poles and crucial singularities, department issues, etc. The publication addresses the wishes of complex undergraduate and graduate scholars in arithmetic or physics.

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