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An Introduction to Special Functions

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An Introduction to Special Functions/ by Carlo Viola.
作者:	Viola, Carlo.
面頁冊數:	VIII, 168 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Functions of complex variables. -
電子資源:	https://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. - 1st ed. 2016. - VIII, 168 p.online resource. - La Matematica per il 3+2,1022038-5722 ;. - La Matematica per il 3+2,84.

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:

528649
Functions of complex variables.

LC Class. No.: QA331-355

Dewey Class. No.: 515.9

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