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Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 119))

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Abstract

A 10 φ 9 contiguous relation is used to derive contiguous relations for a very-well-poised 8 ϕ 7. These in turn yield solutions to the associated q-Askey-Wilson polynomial recurrence relation, expressions for the associated continued fraction, the weight function and a q-analogue of a generalized Dougall’s theorem.

Research partially supported by NSERC (Canada)

In honor of Walter Gautschi on the occasion of his 65th birthday

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© 1994 Birkhäuser

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Gupta, D.P., Masson, D.R. (1994). Solutions to the Associated q-Askey-Wilson Polynomial Recurrence Relation. In: Zahar, R.V.M. (eds) Approximation and Computation: A Festschrift in Honor of Walter Gautschi. ISNM International Series of Numerical Mathematics, vol 119. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4684-7415-2_17

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  • DOI: https://doi.org/10.1007/978-1-4684-7415-2_17

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4684-7417-6

  • Online ISBN: 978-1-4684-7415-2

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