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＜電子ブック＞
An Introduction to Special Functions / by Carlo Viola
(La Matematica per il 3+2. ISSN:20385757 ; 102)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2016
本文言語	英語
大きさ	VIII, 168 p : online resource
著者標目	*Viola, Carlo author SpringerLink (Online service)
件　名	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
一般注記	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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