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- W2052698847 abstract "We consider a family of sums which satisfy symmetric recurrence relations. A sufficient and necessary condition for the existence of such recurrence relations is given. Let us call a pair of sequence (an,bn) a binomial pair if an is the binomial transform of bn. We give some ways of constructing new binomial pairs from old ones. We further generalize the binomial transform by adding a parameter and show that the generalized binomial transform is an involution." @default.
- W2052698847 created "2016-06-24" @default.
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- W2052698847 date "2013-09-01" @default.
- W2052698847 modified "2023-10-18" @default.
- W2052698847 title "Symmetric recurrence relations and binomial transforms" @default.
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- W2052698847 doi "https://doi.org/10.1016/j.jnt.2013.03.003" @default.
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