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Catalogue Information
Field name	Details
Dewey Class	515.9
Title	An Introduction to Special Functions ([EBook]) / by Carlo Viola.
Author	Viola, Carlo
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details	VIII, 168 p. : online resource.
Series	Unitext 2038-5714 ; ; 102
ISBN	9783319413457
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-41345-7
Links to Related Works	Subject References: Functional Analysis . Functions of a Complex Variable . Functions of complex variables . Functions of real variables . Mathematics . Real Functions . Several Complex Variables and Analytic Spaces . Special Functions . Authors: Viola, Carlo . Corporate Authors: SpringerLink (Online service) . Series: Unitext . Classification: 515.9 . 515.9 (DDC 23) .

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An Introduction to Special Functions

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