On Ramanujan’s summation of ₁𝜓₁(𝑎;𝑏;𝑧)

Andrews, George E.

doi:10.1090/S0002-9939-1969-0241703-4

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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On Ramanujan’s summation of $_{1}\psi _{1}(a; b; z)$
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by George E. Andrews

Proc. Amer. Math. Soc. 22 (1969), 552-553

DOI: https://doi.org/10.1090/S0002-9939-1969-0241703-4

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References

George E. Andrews, A simple proof of Jacobi’s triple product identity, Proc. Amer. Math. Soc. 16 (1965), 333–334. MR 171725, DOI 10.1090/S0002-9939-1965-0171725-X
W. N. Bailey, On the basic bilateral hypergeometric series ${}_2\Psi _2$, Quart. J. Math. Oxford Ser. (2) 1 (1950), 194–198. MR 36881, DOI 10.1093/qmath/1.1.194
Lucy Joan Slater, Generalized hypergeometric functions, Cambridge University Press, Cambridge, 1966. MR 0201688