May, 2015
A QUADRATIC FORMULA FOR BASIC HYPERGEOMETRIC SERIES RELATED TO ASKEY-WILSON POLYNOMIALS
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
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- ,
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- Volume
- 143
- Number
- 5
- First page
- 2003
- Last page
- 2015
- Language
- English
- Publishing type
- Research paper (scientific journal)
- DOI
- 10.1090/S0002-9939-2015-12099-0
- Publisher
- AMER MATHEMATICAL SOC
We prove a general quadratic formula for basic hypergeometric series, from which simple proofs of several recent determinant and Pfaffian formulas are obtained. A special case of the quadratic formula is actually related to a Gram determinant formula for Askey-Wilson polynomials. We also show how to derive a recent double-sum formula for the moments of Askey-Wilson polynomials from Newton's interpolation formula.
- Link information
- ID information
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- DOI : 10.1090/S0002-9939-2015-12099-0
- ISSN : 0002-9939
- eISSN : 1088-6826
- Web of Science ID : WOS:000351746600017