Dougall expansion

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1: 14.18 Sums

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Dougall’s Expansion

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2: Bibliography D

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On Vandermonde’s theorem, and some more general expansions. Proc. Edinburgh Math. Soc. 25, pp. 114–132.

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Referenced by:

§15.4(ii).

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3: 16.4 Argument Unity

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Rogers–Dougall Very Well-Poised Sum

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Dougall’s Very Well-Poised Sum

… ►The function ${}_3{}^{}F_2^{}(a,b,c;d,e;1)$ is analytic in the parameters $a,b,c,d,e$ when its series expansion converges and the bottom parameters are not negative integers or zero. … ►This is Dougall’s bilateral sum; see Andrews et al. (1999, §2.8).