Some infinite series identities
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- by Kevin B. Ford
- Proc. Amer. Math. Soc. 119 (1993), 1019-1020
- DOI: https://doi.org/10.1090/S0002-9939-1993-1174491-1
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Abstract:
Certain infinite series are shown to satisfy simple identities between the square of the sum of the series and the sum of the squares of the terms of the series. The main tool is Ramanujan’s ${}_1{\psi _1}$ summation formula.References
- Bruce C. Berndt, Ramanujan’s notebooks. Part III, Springer-Verlag, New York, 1991. MR 1117903, DOI 10.1007/978-1-4612-0965-2
- Mourad E. H. Ismail, A simple proof of Ramanujan’s $_{1}\psi _{1}$ sum, Proc. Amer. Math. Soc. 63 (1977), no. 1, 185–186. MR 508183, DOI 10.1090/S0002-9939-1977-0508183-7
- Srinivasa Ramanujan, Notebooks. Vols. 1, 2, Tata Institute of Fundamental Research, Bombay, 1957. MR 0099904
Bibliographic Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 1019-1020
- MSC: Primary 33D20
- DOI: https://doi.org/10.1090/S0002-9939-1993-1174491-1
- MathSciNet review: 1174491