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＜E-Book＞
An Introduction to Special Functions / by Carlo Viola
(La Matematica per il 3+2. ISSN:20385757 ; 102)

Edition	1st ed. 2016.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2016
Language	English
Size	VIII, 168 p : online resource
Authors	*Viola, Carlo author SpringerLink (Online service)
Subjects	LCSH:Functions of complex variables LCSH:Functional analysis LCSH:Functions of real variables LCSH:Special functions FREE:Functions of a Complex Variable FREE:Functional Analysis FREE:Real Functions FREE:Special Functions FREE:Several Complex Variables and Analytic Spaces
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-319-41345-7

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