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An Introduction to Special Functions

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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 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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Detail Information

Series Title

UNITEXT

Call Number

515.5 VIO i

Publisher

Cham, Switzerland : Springer Cham., 2016

Collation

VIII, 168

Language

English

ISBN/ISSN

978-3-319-41345-7

Classification

515.5

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

Ed. 1

Subject(s)

Functions of a Complex Variable
Functional Analysis

Specific Detail Info

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Statement of Responsibility

Carlo Viola

Other Information

Cataloger

umi

Source

https://link.springer.com/content/pdf/10.1007/978-3-319-41345-7.pdf?pdf=button

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