Binomial Sums and Identities
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چکیده
منابع مشابه
Integrals and Polygamma Representations for Binomial Sums
We consider sums involving the product of reciprocal binomial coefficient and polynomial terms and develop some double integral identities. In particular cases it is possible to express the sums in closed form, give some general results, recover some known results in Coffey and produce new identities.
متن کاملCertain Binomial Sums with Recursive Coefficients
In this short note, we establish some identities containing sums of binomials with coefficients satisfying third order linear recursive relations. As a result and in particular, we obtain general forms of earlier identities involving binomial coefficients and Fibonacci type sequences.
متن کاملFibonacci Identities as Binomial Sums II
As in [2], our goal in this article is to write some more prominent and fundamental identities regarding Fibonacci numbers as binomial sums.
متن کاملBinomial Identities Involving The Generalized Fibonacci Type Polynomials
We present some binomial identities for sums of the bivariate Fi-bonacci polynomials and for weighted sums of the usual Fibonacci polynomials with indices in arithmetic progression.
متن کاملSome Identities involving the Partial Sum of q-Binomial Coefficients
We give some identities involving sums of powers of the partial sum of q-binomial coefficients, which are q-analogues of Hirschhorn’s identities [Discrete Math. 159 (1996), 273–278] and Zhang’s identity [Discrete Math. 196 (1999), 291–298].
متن کاملBernstein Basis Functions Related to Combinatorial Sums Involving Binomial Coefficients and Special Numbers
By using generating functions, which contained alternative forms, we derive identities, some new and old, for the Bernstein basis functions. Integrating these identities, we also derive combinatorial sums involving binomial coefficients. We give relations between these combinatorial sums and generating functions for special numbers, we investigate relations related to finite sums of the powers ...
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تاریخ انتشار 1993