Some binomial series obtained by the WZ-method. (English) Zbl 1013.33010

The author obtains Ramanujan’s formulae and some new interesting Ramanujan-like sums.


33F10 Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.)
33C20 Generalized hypergeometric series, \({}_pF_q\)
11B65 Binomial coefficients; factorials; \(q\)-identities
05A19 Combinatorial identities, bijective combinatorics
Full Text: DOI arXiv


[1] Ramanujan, S., Modular equations and approximations to \(π\), Quart. J. Pure Appl. Math., 45, 350-372 (1914) · JFM 45.1249.01
[2] Bailey, W. N., Generalized Hypergeometric Series (1935), Cambridge Univ. Press, p. 39 · Zbl 0011.02303
[3] Wilf, H. S.; Zeilberger, D., Rational functions certify combinatorial identities, J. Amer. Math. Soc., 3 (1990) · Zbl 0695.05004
[4] Zeilberger, D., Closed-form (pun intended!), Contemp. Math., 143 (1993) · Zbl 0808.05010
[5] Petkovšek, M.; Wilf, H. S.; Zeilberger, D., \(A=B (1996)\), Peters
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