Generalized hypergeometric series
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This also gives in the paper T. H. Koornwinder, Orthogonal polynomials with weight function (1− x)α(1 + x)β + Mδ(x + 1) + Nδ(x− 1), Canad. Math. Bull. 27 (1984), 205–214 the identitity (2.5) with N = 0 and formulas (5.3), (5.4) substituted. p.95, §10.4, formula (7): second line: replace in denominator (v + n− 1)(w + n− 1) by Γ(v + n− 1)Γ(w + n− 1); third line: replace in denominator Γ(v + n− 1) by (v + n− 1); fifth line: replace in denominator Γ(w + n− 1) by (w + n− 1).