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Basic hypergeometric series / George Gasper, Mizan Rahman.

By: Contributor(s): Material type: TextTextSeries: Encyclopedia of mathematics and its applications ; v. 96.Publisher: Cambridge, UK ; New York : Cambridge University Press, 2004Edition: Second editionDescription: 1 online resource (xxvi, 428 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781107089570
  • 1107089573
  • 9781107095922
  • 1107095921
Subject(s): Genre/Form: Additional physical formats: Print version:: Basic hypergeometric series.DDC classification:
  • 515/.243 22
LOC classification:
  • QA353.H9 G37 2004eb
Other classification:
  • 31.35
  • 31.49
  • MAT 335f
Online resources:
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.
Summary: 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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

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.

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