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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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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Gasper, George
Autres auteurs: Rahman, Mizan
Format: Électronique eBook
Langue:Inglés
Publié: Cambridge, UK ; New York : Cambridge University Press, 2004.
Édition:Second edition.
Collection:Encyclopedia of mathematics and its applications ; v. 96.
Sujets:
Accès en ligne:Texto completo
Table des matières:
  • 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.