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An introduction to special functions

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An introduction to special functions

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to special functionsby Carlo Viola.
Author:	Viola, Carlo.
Published:	Cham :Springer International Publishing :2016.
Description:	viii, 168 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Functions, Special.
Online resource:	http://dx.doi.org/10.1007/978-3-319-41345-7
ISBN:	9783319413457$q(electronic bk.)

An introduction to special functions
Viola, Carlo.

An introduction to special functions[electronic resource] /by Carlo Viola. - Cham :Springer International Publishing :2016. - viii, 168 p. :ill., digital ;24 cm. - UNITEXT,v.1022038-5714 ;. - UNITEXT ;v.73..

1 Picard's Theorems -- 2 The Weierstrass Factorization Theorem -- 3 Entire Functions of Finite Order -- 4 Bernoulli Numbers and Polynomials -- 5 Summation Formulae -- 6 The Euler Gamma-Function -- 7 Linear Differential Equations -- 8 Hypergeometric Functions.

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.

ISBN: 9783319413457$q(electronic bk.)

Standard No.: 10.1007/978-3-319-41345-7doiSubjects--Topical Terms:

281573
Functions, Special.

LC Class. No.: QA351

Dewey Class. No.: 515.5

An introduction to special functions
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520 $a 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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