## 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.

### MSC:

 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
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### References:

 [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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