大葉大學圖書館 |

An introduction to special functions[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.5
書名/作者:	An introduction to special functions/ by Carlo Viola.
作者:	Viola, Carlo.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	viii, 168 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Functions, Special.
標題:	Mathematics.
標題:	Functions of a Complex Variable.
標題:	Functional Analysis.
標題:	Real Functions.
標題:	Special Functions.
標題:	Several Complex Variables and Analytic Spaces.
ISBN:	9783319413457
ISBN:	9783319413440
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-41345-7

An introduction to special functions[electronic resource] /
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

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

616281
Functions, Special.

LC Class. No.: QA351

Dewey Class. No.: 515.5

An introduction to special functions[electronic resource] /
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