Introduction to special functions
Material type: TextLanguage: English Series: UNITEXT-La Mathematica per il 3+2 ; 102Publication details: Switzerland : Springer, 2016. Description: viii, 168pISBN: 9783319413440Subject(s): Functional analysis | Functions of complex variables | Functions of real variables | Special functions | Picard theorems | Weierstrass factorization | Bernoulli numbers | Bernoulli polynomials | Euler gamma-function | Hypergeometric functionsDDC classification: 517.5 Online resources: Table of contents | Reviews Summary: 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.Item type | Current library | Call number | Status | Date due | Barcode |
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Book | NISER LIBRARY | 517.5 VIO-I (Browse shelf(Opens below)) | Available | 25276 |
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517.5 LEV-D Distribution of zeros of entire functions | 517.5 LEV-L Lectures on entire functions | 517.5 TIT-T Theory of functions (the) | 517.5 VIO-I Introduction to special functions | 517.5 WIL-G Generating functionology | 517.51: 53 HSI-B Boundary integral equations | 517.51 FLE-F Functions of several variables |
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.
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