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Special values of the hypergeometric series /
In this paper, the author presents a new method for finding identities for hypergeoemtric series, such as the (Gauss) hypergeometric series, the generalized hypergeometric series and the Appell-Lauricella hypergeometric series. Furthermore, using this method, the author gets identities for the hyper...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2017.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1177. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn993440597 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
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| 008 | 170711t20172017riu ob 000 0 eng d | ||
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| 020 | |a 9781470440565 |q (online) | ||
| 020 | |a 1470440563 |q (online) | ||
| 020 | |z 9781470425333 |q (alk. paper) | ||
| 020 | |z 1470425335 |q (alk. paper) | ||
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| 035 | |a (OCoLC)993440597 | ||
| 050 | 4 | |a QA353.H9 |b E25 2017 | |
| 082 | 0 | 4 | |a 515/.5 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Ebisu, Akihito, |d 1985- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjF8hB4Pyhw849jKV4Mxwy | |
| 245 | 1 | 0 | |a Special values of the hypergeometric series / |c Akihito Ebisu. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2017. | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource (v, 96 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 248, number 1177 | |
| 588 | 0 | |a Print version record. | |
| 500 | |a "Volume 248, number 1177 (third of 5 numbers), July 2017." | ||
| 504 | |a Includes bibliographical references (pages 95-96). | ||
| 505 | 0 | |a Cover; Title page; Chapter 1. Introduction; Chapter 2. Preliminaries; 2.1. Contiguity operators; 2.2. Degenerate relations; 2.3. A complete system of representatives of \\Z³; Chapter 3. Derivation of special values; 3.1. Example 1: (,)=(0,1,1); 3.2. Example 2: (,)=(1,2,2); 3.3. Example 3: (,)=(1,2,3); Chapter 4. Tables of special values; 4.1. =1; 4.2. =2; 4.3. =3; 4.4. =4; 4.5. =5; 4.6. =6; Appendix A. Some hypergeometric identities for generalized hypergeometric series and Appell-Lauricella hypergeometric series | |
| 505 | 8 | |a A.1. Some examples for generalized hypergeometric seriesA. 2. Some examples for Appell-Lauricella hypereometric series; Acknowledgments; Bibliography; Back Cover | |
| 520 | |a In this paper, the author presents a new method for finding identities for hypergeoemtric series, such as the (Gauss) hypergeometric series, the generalized hypergeometric series and the Appell-Lauricella hypergeometric series. Furthermore, using this method, the author gets identities for the hypergeometric series F(a, b;c;x) and shows that values of F(a, b;c;x) at some points x can be expressed in terms of gamma functions, together with certain elementary functions. The author tabulates the values of F(a, b;c;x) that can be obtained with this method and finds that this set includes almost all p. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Hypergeometric series. | |
| 650 | 0 | |a Cohen-Macaulay modules. | |
| 650 | 0 | |a Modules (Algebra) | |
| 650 | 0 | |a Singularities (Mathematics) | |
| 650 | 6 | |a Séries hypergéométriques. | |
| 650 | 6 | |a Modules de Cohen-Macaulay. | |
| 650 | 6 | |a Modules (Algèbre) | |
| 650 | 6 | |a Singularités (Mathématiques) | |
| 650 | 7 | |a Cohen-Macaulay modules |2 fast | |
| 650 | 7 | |a Hypergeometric series |2 fast | |
| 650 | 7 | |a Modules (Algebra) |2 fast | |
| 650 | 7 | |a Singularities (Mathematics) |2 fast | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Special values of the hypergeometric series (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG9Y9dDrfQtpQwDrdkdh9C |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |z 9781470425333 |w (DLC) 2017015044 |w (OCoLC)982444993 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1177. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4940245 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37445094 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL4940245 | ||
| 938 | |a YBP Library Services |b YANK |n 14744567 | ||
| 994 | |a 92 |b IZTAP | ||