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- W1983938237 abstract "A multiple generalization of the Euler transformation formula for basic hypergeometric series 2φ1 is derived. It is obtained from the symmetry of the reproducing kernel for Macdonald polynomials by a method of multiple principal specialization. As applications, elementary proofs of the Pfaff–Saalschutz summation formula and the Gauss summation formula for basic hypergeometric series in U(n+1) due to S.C. Milne are given. Some other multiple transformation and summation formulas for very-well-poised 10φ9 and 8φ7 series, balanced 4φ3 series and 3φ2 series are also given." @default.
- W1983938237 created "2016-06-24" @default.
- W1983938237 creator A5038493864 @default.
- W1983938237 date "2004-09-01" @default.
- W1983938237 modified "2023-10-16" @default.
- W1983938237 title "Euler transformation formula for multiple basic hypergeometric series of type A and some applications" @default.
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- W1983938237 doi "https://doi.org/10.1016/j.aim.2003.08.012" @default.
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