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Record Nr. |
UNINA9910254090003321 |
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Autore |
Viola Carlo |
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Titolo |
An Introduction to Special Functions / / by Carlo Viola |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
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ISBN |
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Edizione |
[1st ed. 2016.] |
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Descrizione fisica |
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1 online resource (VIII, 168 p.) |
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Collana |
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La Matematica per il 3+2, , 2038-5722 ; ; 102 |
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Disciplina |
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Soggetti |
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Functions of complex variables |
Functional analysis |
Functions of real variables |
Functions, Special |
Functions of a Complex Variable |
Functional Analysis |
Real Functions |
Special Functions |
Several Complex Variables and Analytic Spaces |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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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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