Basic hypergeometric series
This revised and expanded new edition will continue to meet the needs for an authoritative, up-to-date, self contained, and comprehensive account of the rapidly growing field of basic hypergeometric series, or q-series. Simplicity, clarity, deductive proofs, thoughtfully designed exercises, and usef...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Cambridge
Cambridge University Press
2009
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| Ausgabe: | Second edition |
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 96 |
| Schlagworte: | |
| Online-Zugang: | DE-12 DE-92 DE-29 URL des Erstveröffentlichers |
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| 245 | 1 | 0 | |a Basic hypergeometric series |c George Gasper, Mizan Rahman |
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| 490 | 0 | |a Encyclopedia of mathematics and its applications |v volume 96 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Basic hypergeometric series -- Summation, transformation, and expansion formulas -- Additional summation, transformation, and expansion formulas -- Basic contour integrals -- Bilateral basic hypergeometric series -- The Askey-Wilson q-beta integral and some associated formulas -- Applications to orthogonal polynomials -- Further applications -- Linear and bilinear generating functions for basic orthogonal polynomials -- q-series in two or more variables -- Elliptic, modular, and theta hypergeometric series | |
| 520 | |a This revised and expanded new edition will continue to meet the needs for an authoritative, up-to-date, self contained, and comprehensive account of the rapidly growing field of basic hypergeometric series, or q-series. Simplicity, clarity, deductive proofs, thoughtfully designed exercises, and useful appendices are among its strengths. The first five chapters cover basic hypergeometric series and integrals, whilst the next five are devoted to applications in various areas including Askey-Wilson integrals and orthogonal polynomials, partitions in number theory, multiple series, orthogonal polynomials in several variables, and generating functions. Chapters 9-11 are new for the second edition, the final chapter containing a simplified version of the main elements of the theta and elliptic hypergeometric series as a natural extension of the single-base q-series. Some sections and exercises have been added to reflect recent developments, and the Bibliography has been revised to maintain its comprehensiveness | ||
| 650 | 4 | |a Hypergeometric series | |
| 650 | 0 | 7 | |a Hypergeometrische Reihe |0 (DE-588)4161061-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a q-Reihe |0 (DE-588)4227281-6 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1819298695894532096 |
|---|---|
| any_adam_object | |
| author | Gasper, George |
| author_GND | (DE-588)1089431309 |
| author_facet | Gasper, George |
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| author_sort | Gasper, George |
| author_variant | g g gg |
| building | Verbundindex |
| bvnumber | BV043941629 |
| classification_rvk | SK 420 SK 470 SK 680 |
| collection | ZDB-20-CBO |
| contents | Basic hypergeometric series -- Summation, transformation, and expansion formulas -- Additional summation, transformation, and expansion formulas -- Basic contour integrals -- Bilateral basic hypergeometric series -- The Askey-Wilson q-beta integral and some associated formulas -- Applications to orthogonal polynomials -- Further applications -- Linear and bilinear generating functions for basic orthogonal polynomials -- q-series in two or more variables -- Elliptic, modular, and theta hypergeometric series |
| ctrlnum | (ZDB-20-CBO)CR9780511526251 (OCoLC)851047551 (DE-599)BVBBV043941629 |
| dewey-full | 515/.243 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.243 |
| dewey-search | 515/.243 |
| dewey-sort | 3515 3243 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511526251 |
| edition | Second edition |
| format | Electronic eBook |
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| id | DE-604.BV043941629 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T05:34:00Z |
| institution | BVB |
| isbn | 9780511526251 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350599 |
| oclc_num | 851047551 |
| open_access_boolean | |
| owner | DE-12 DE-29 DE-92 |
| owner_facet | DE-12 DE-29 DE-92 |
| physical | 1 online resource (xxvi, 428 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UER_PDA_CBO_Kauf |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Encyclopedia of mathematics and its applications |
| spelling | Gasper, George Verfasser aut Basic hypergeometric series George Gasper, Mizan Rahman Second edition Cambridge Cambridge University Press 2009 1 online resource (xxvi, 428 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 96 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Basic hypergeometric series -- Summation, transformation, and expansion formulas -- Additional summation, transformation, and expansion formulas -- Basic contour integrals -- Bilateral basic hypergeometric series -- The Askey-Wilson q-beta integral and some associated formulas -- Applications to orthogonal polynomials -- Further applications -- Linear and bilinear generating functions for basic orthogonal polynomials -- q-series in two or more variables -- Elliptic, modular, and theta hypergeometric series This revised and expanded new edition will continue to meet the needs for an authoritative, up-to-date, self contained, and comprehensive account of the rapidly growing field of basic hypergeometric series, or q-series. Simplicity, clarity, deductive proofs, thoughtfully designed exercises, and useful appendices are among its strengths. The first five chapters cover basic hypergeometric series and integrals, whilst the next five are devoted to applications in various areas including Askey-Wilson integrals and orthogonal polynomials, partitions in number theory, multiple series, orthogonal polynomials in several variables, and generating functions. Chapters 9-11 are new for the second edition, the final chapter containing a simplified version of the main elements of the theta and elliptic hypergeometric series as a natural extension of the single-base q-series. Some sections and exercises have been added to reflect recent developments, and the Bibliography has been revised to maintain its comprehensiveness Hypergeometric series Hypergeometrische Reihe (DE-588)4161061-1 gnd rswk-swf q-Reihe (DE-588)4227281-6 gnd rswk-swf Hypergeometrische Reihe (DE-588)4161061-1 s 1\p DE-604 q-Reihe (DE-588)4227281-6 s 2\p DE-604 Rahman, Mizan 1932- Sonstige (DE-588)1089431309 oth Erscheint auch als Druck-Ausgabe, Hardcover 0521833574 Erscheint auch als Druck-Ausgabe, Paperback 978-0-521-83357-8 https://doi.org/10.1017/CBO9780511526251 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gasper, George Basic hypergeometric series Basic hypergeometric series -- Summation, transformation, and expansion formulas -- Additional summation, transformation, and expansion formulas -- Basic contour integrals -- Bilateral basic hypergeometric series -- The Askey-Wilson q-beta integral and some associated formulas -- Applications to orthogonal polynomials -- Further applications -- Linear and bilinear generating functions for basic orthogonal polynomials -- q-series in two or more variables -- Elliptic, modular, and theta hypergeometric series Hypergeometric series Hypergeometrische Reihe (DE-588)4161061-1 gnd q-Reihe (DE-588)4227281-6 gnd |
| subject_GND | (DE-588)4161061-1 (DE-588)4227281-6 |
| title | Basic hypergeometric series |
| title_auth | Basic hypergeometric series |
| title_exact_search | Basic hypergeometric series |
| title_full | Basic hypergeometric series George Gasper, Mizan Rahman |
| title_fullStr | Basic hypergeometric series George Gasper, Mizan Rahman |
| title_full_unstemmed | Basic hypergeometric series George Gasper, Mizan Rahman |
| title_short | Basic hypergeometric series |
| title_sort | basic hypergeometric series |
| topic | Hypergeometric series Hypergeometrische Reihe (DE-588)4161061-1 gnd q-Reihe (DE-588)4227281-6 gnd |
| topic_facet | Hypergeometric series Hypergeometrische Reihe q-Reihe |
| url | https://doi.org/10.1017/CBO9780511526251 |
| work_keys_str_mv | AT gaspergeorge basichypergeometricseries AT rahmanmizan basichypergeometricseries |