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An introduction to special functions

Viola, Carlo.

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An introduction to special functions

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to special functions/ by Carlo Viola.
Author:	Viola, Carlo.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	viii, 168 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Functions, Special. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-41345-7
ISBN:	9783319413457

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.102..

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

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

606076
Functions, Special.

LC Class. No.: QA351

Dewey Class. No.: 515.5

An introduction to special functions
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100 1 $a Viola, Carlo. $3 3201132
245 1 3 $a An introduction to special functions $h [electronic resource] / $c by Carlo Viola.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a viii, 168 p. : $b ill., digital ; $c 24 cm.
490 1 $a UNITEXT, $x 2038-5714 ; $v v.102
505 0 $a 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.
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.
650 0 $a Functions, Special. $3 606076
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Functions of a Complex Variable. $3 897310
650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Real Functions. $3 891265
650 2 4 $a Special Functions. $3 897326
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 893953
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830 0 $a UNITEXT ; $v v.102. $3 3201133
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-41345-7
950 $a Mathematics and Statistics (Springer-11649)