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ISBN: 9781402069482

Special functions are pervasive in all fields of science and industry. The most well-known application areas are in physics, engineering, chemistry, computer science and statistics. Becau… Plus…

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Handbook of Continued Fractions for Special Functions - edition reliée, livre de poche

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Handbook of Continued Fractions for Special Functions - Annie A.M. Cuyt/ Vigdis Petersen/ Brigitte Verdonk/ Haakon Waadeland/ William B. Jones
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Handbook of Continued Fractions for Special Functions - edition reliée, livre de poche

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Handbook of Continued Fractions for Special Functions

Special functions are pervasive in all fields of science and industry. The most well-known application areas are in physics, engineering, chemistry, computer science and statistics. Because of their importance, several books and websites (see for instance http: functions.wolfram.com) and a large collection of papers have been devoted to these functions. Of the standard work on the subject, the Handbook of mathematical functions with formulas, graphs and mathematical tables edited by Milton Abramowitz and Irene Stegun, the American National Institute of Standards claims to have sold over 700 000 copies! But so far no project has been devoted to the systematic study of continued fraction representations for these functions. This handbook is the result of such an endeavour. We emphasise that only 10% of the continued fractions contained in this book, can also be found in the Abramowitz and Stegun project or at the Wolfram website!

Informations détaillées sur le livre - Handbook of Continued Fractions for Special Functions


EAN (ISBN-13): 9781402069482
ISBN (ISBN-10): 1402069480
Version reliée
Livre de poche
Date de parution: 2008
Editeur: Springer-Verlag New York Inc.
431 Pages
Poids: 0,787 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2008-02-14T20:05:00+01:00 (Zurich)
Page de détail modifiée en dernier sur 2023-05-18T19:49:07+02:00 (Zurich)
ISBN/EAN: 1402069480

ISBN - Autres types d'écriture:
1-4020-6948-0, 978-1-4020-6948-2
Autres types d'écriture et termes associés:
Auteur du livre: petersen, jones william, haak, joe jones, brigitte springer, abramowitz stegun, peterßen
Titre du livre: continued fractions, handbook, more special functions, annie


Données de l'éditeur

Auteur: Annie A.M. Cuyt
Titre: Handbook of Continued Fractions for Special Functions
Editeur: Springer; Springer Netherland
431 Pages
Date de parution: 2008-04-22
Dordrecht; NL
Langue: Anglais
109,99 € (DE)

BB; Hardcover, Softcover / Mathematik/Analysis; Funktionalanalysis und Abwandlungen; Verstehen; Hypergeometric function; brandon wis; chemistry; computer; computer science; function; gamma function; numerics; physics; science; statistics; Special Functions; Mathematical and Computational Engineering Applications; Mathematics; Mathematics of Computing; Technology and Engineering; Humanities and Social Sciences; Mathematik für Ingenieure; Mathematik; Mathematik für Informatiker; Ingenieurswesen, Maschinenbau allgemein; Interdisziplinäre Studien; BC

Basic Theory.- Basics.- Continued fraction representation of functions.- Convergence criteria.- Padé approximants.- Moment theory and orthogonal functions.- Numerics.- Continued fraction construction.- Truncation error bounds.- Continued fraction evaluation.- Special Functions.- On tables and graphs.- Mathematical constants.- Elementary functions.- Gamma function and related functions.- Error function and related integrals.- Exponential integrals and related functions.- Hypergeometric functions.- Confluent hypergeometric functions.- Bessel functions.- Probability functions.- Basic hypergeometric functions.

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