EAN: 9783319413440

AN INTRODUCTION TO SPECIAL FUNCTIONS - CARLO VI...

The subjects treated in this book have been especially chosen to represent a bridge connecting
the content of a first course on the elementary theory of analytic functions with a rigorous
treatment of some of the most important special functions: the Euler gamma function  the Gauss
hypergeometric function  and the Kummer confluent hypergeometric function. Such special
functions are indispensable tools in higher calculus and are frequently encountered in almost
all branches of pure and applied mathematics. The only knowledge assumed on the part of the
reader is an understanding of basic concepts to the level of an elementary course covering the
residue theorem  Cauchy's integral formula  the Taylor and Laurent series expansions  poles and
essential singularities  branch points  etc. The book addresses the needs of advanced
undergraduate and graduate students in mathematics or physics.

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