Basic hypergeometric series /:
This updated edition will continue to meet the needs for an authoritative comprehensive analysis of the rapidly growing field of basic hypergeometric series, or q-series. It includes deductive proofs, exercises, and useful appendices. Three new chapters have been added to this edition covering q-ser...
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Weitere Verfasser: | |
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge, UK ; New York :
Cambridge University Press,
2004.
|
Ausgabe: | Second edition. |
Schriftenreihe: | Encyclopedia of mathematics and its applications ;
v. 96. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | This updated edition will continue to meet the needs for an authoritative comprehensive analysis of the rapidly growing field of basic hypergeometric series, or q-series. It includes deductive proofs, exercises, and useful appendices. Three new chapters have been added to this edition covering q-series in two and more variables; linear- and bilinear-generating functions for basic orthogonal polynomials; and summation and transformation formulas for elliptic hypergeometric series. In addition, the text and bibliography have been expanded to reflect recent developments. First Edition Hb (1990): 0-521-35049-2. |
Beschreibung: | 1 online resource (xxvi, 428 pages) |
Bibliographie: | Includes bibliographical references and indexes. |
ISBN: | 9781107089570 1107089573 9781107095922 1107095921 9780511526251 0511526253 |
Internformat
MARC
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245 | 1 | 0 | |a Basic hypergeometric series / |c George Gasper, Mizan Rahman. |
250 | |a Second edition. | ||
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490 | 1 | |a Encyclopedia of mathematics and its applications ; |v volume 96 | |
504 | |a Includes bibliographical references and indexes. | ||
505 | 0 | |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 updated edition will continue to meet the needs for an authoritative comprehensive analysis of the rapidly growing field of basic hypergeometric series, or q-series. It includes deductive proofs, exercises, and useful appendices. Three new chapters have been added to this edition covering q-series in two and more variables; linear- and bilinear-generating functions for basic orthogonal polynomials; and summation and transformation formulas for elliptic hypergeometric series. In addition, the text and bibliography have been expanded to reflect recent developments. First Edition Hb (1990): 0-521-35049-2. | ||
588 | 0 | |a Print version record. | |
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adam_text | |
any_adam_object | |
author | Gasper, George |
author2 | Rahman, Mizan |
author2_role | |
author2_variant | m r mr |
author_facet | Gasper, George Rahman, Mizan |
author_role | |
author_sort | Gasper, George |
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building | Verbundindex |
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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 | (OCoLC)861692748 |
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 |
edition | Second edition. |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-11-27T13:25:36Z |
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isbn | 9781107089570 1107089573 9781107095922 1107095921 9780511526251 0511526253 |
language | English |
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series | Encyclopedia of mathematics and its applications ; |
series2 | Encyclopedia of mathematics and its applications ; |
spelling | Gasper, George. Basic hypergeometric series / George Gasper, Mizan Rahman. Second edition. Cambridge, UK ; New York : Cambridge University Press, 2004. 1 online resource (xxvi, 428 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Encyclopedia of mathematics and its applications ; volume 96 Includes bibliographical references and indexes. 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 updated edition will continue to meet the needs for an authoritative comprehensive analysis of the rapidly growing field of basic hypergeometric series, or q-series. It includes deductive proofs, exercises, and useful appendices. Three new chapters have been added to this edition covering q-series in two and more variables; linear- and bilinear-generating functions for basic orthogonal polynomials; and summation and transformation formulas for elliptic hypergeometric series. In addition, the text and bibliography have been expanded to reflect recent developments. First Edition Hb (1990): 0-521-35049-2. Print version record. Hypergeometric series. http://id.loc.gov/authorities/subjects/sh85063695 Séries hypergéométriques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Hypergeometric series fast Hypergeometrische Reihe gnd http://d-nb.info/gnd/4161061-1 Hypergeometrische functies. gtt Série hypergéométrique. rasuqam Rahman, Mizan. has work: Basic hypergeometric series (Work) https://id.oclc.org/worldcat/entity/E39PCXfxWTGfwGj4d4Rw94Q8qP https://id.oclc.org/worldcat/ontology/hasWork Print version: Gasper, George. Basic hypergeometric series. Second edition 0521833574 (DLC) 2004045686 (OCoLC)54677790 Encyclopedia of mathematics and its applications ; v. 96. http://id.loc.gov/authorities/names/n42010632 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569256 Volltext |
spellingShingle | Gasper, George Basic hypergeometric series / Encyclopedia of mathematics and its applications ; 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. http://id.loc.gov/authorities/subjects/sh85063695 Séries hypergéométriques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Hypergeometric series fast Hypergeometrische Reihe gnd http://d-nb.info/gnd/4161061-1 Hypergeometrische functies. gtt Série hypergéométrique. rasuqam |
subject_GND | http://id.loc.gov/authorities/subjects/sh85063695 http://d-nb.info/gnd/4161061-1 |
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. http://id.loc.gov/authorities/subjects/sh85063695 Séries hypergéométriques. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Hypergeometric series fast Hypergeometrische Reihe gnd http://d-nb.info/gnd/4161061-1 Hypergeometrische functies. gtt Série hypergéométrique. rasuqam |
topic_facet | Hypergeometric series. Séries hypergéométriques. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Hypergeometric series Hypergeometrische Reihe Hypergeometrische functies. Série hypergéométrique. |
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