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 col...
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| Glavni autori: | , , , , |
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| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| Teme: | |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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L'impression du document génère 430 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Handbook of continued fractions for special functions, Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk,... [et al.], New York, Springer, 2008, 1 vol. (XVI-431 p.), 978-1-402-06948-2 |
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| 008 | 080626q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN125216890 | ||
| 020 | |a 9781402069499 | ||
| 020 | |a 9781402069499 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.5 | ||
| 084 | |a 11A55. 2010 | ||
| 084 | |a 30B70. 2010 | ||
| 084 | |a 33Bxx. 2010 | ||
| 084 | |a 33Cxx. 2010 | ||
| 084 | |a 33Dxx. 2010 | ||
| 100 | 1 | |a Cuyt, Annie, |d 1956- | |
| 245 | 1 | 0 | |a Handbook of Continued Fractions for Special Functions |c by Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk, Haakon Waadeland, William B. Jones. |
| 260 | |a Dordrecht : |b Springer Netherlands. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a L'impression du document génère 430 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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, namely 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! | ||
| 650 | |a Fractions continues | ||
| 650 | |a Mathématiques |x Informatique | ||
| 650 | |a Mathématiques de l'ingénieur | ||
| 700 | 1 | |a Petersen, Vigdis Brevik. |4 aut | |
| 700 | 1 | |a Verdonk, Brigitte. |4 aut | |
| 700 | 1 | |a Waadeland, Haakon, |d 1927- |4 aut | |
| 700 | 1 | |a Jones, William B., |d 1931- |4 aut | |
| 700 | 1 | |a Petersen, Vigdis Brevik. |4 aut | |
| 700 | 1 | |a Verdonk, Brigitte. |4 aut | |
| 700 | 1 | |a Waadeland, Haakon, |d 1927- |4 aut | |
| 700 | 1 | |a Jones, William B., |d 1931- |4 aut | |
| 776 | 0 | |0 125778686 |t Handbook of continued fractions for special functions |f Annie Cuyt, Vigdis Brevik Petersen, Brigitte Verdonk,... [et al.] |c New York |n Springer |d 2008 |p 1 vol. (XVI-431 p.) |z 978-1-402-06948-2 | |
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