Geodesic
An integral Representation of a 10 φ 9 and Continuous Bi-Orthogonal 10 φ 9 Rational Functions
Canadian journal of mathematics, Tome 38 (1986) no. 3, pp. 605-618

Voir la notice de l'article provenant de la source Cambridge University Press

1. Introduction. One of the most remarkable q-extensions of the classical beta integral was recently introduced by Askey and Wilson [1] (1.1) where |q| < 1 and the pairwise products of {a, b, c, d} as a multiset do not belong to the set {qj, j = 0, – 1, – 2, ...}. The contour C is the unit circle described in the positive direction, but with suitable deformations to separate the sequences of poles converging to zero from the sequences of poles diverging to infinity. The symbol (A; q)∞ is an infinite product defined by (1.2) whenever it converges. 
Rahman, Mizan. An integral Representation of a 10 φ 9 and Continuous Bi-Orthogonal 10 φ 9 Rational Functions. Canadian journal of mathematics, Tome 38 (1986) no. 3, pp. 605-618. doi: 10.4153/CJM-1986-030-6
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[1] 1. Askey, R. and Wilson, J. A., Some basic hyper geometric polynomials that generalize Jacobi polynomials, Mem. Amer. Math. Soc. 54 (1985). Google Scholar

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[6] 6. Wilson, J. A., Some hyper geometric orthogonal polynomials, SIAM J. Math. 11 (1980), 690–701. Google Scholar

[7] 7. Wilson, J. A. private communication. Google Scholar

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