An Introduction to Special Functions

1st ed. 2016

by Carlo Viola

Book Details

Format Paperback / Softback

Book Series La Matematica per il 3+2

ISBN-10 3319413449

ISBN-13 9783319413440

Edition 1st ed. 2016

Publisher Springer International Publishing AG

Imprint Springer International Publishing AG

Country of Manufacture CH

Country of Publication GB

Publication Date Nov 14th, 2016

Print length 168 Pages

Weight 314 grams

Dimensions 16.30 x 36.90 x 0.20 cms

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Ksh 7,200.00

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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 gained from an elementary course covering the residue theorem, Cauchy’s integral formula, Taylor and Laurent series expansions, poles and essential singularities, branch points, etc.

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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