Binomial transform and the backward difference

zbMath1298.05015arXiv1410.3014MaRDI QIDQ2922325

Khristo N. Boyadzhiev

Publication date: 10 October 2014

Full work available at URL: https://arxiv.org/abs/1410.3014

zbMATH Keywords

recurrence relationsFibonacci numbersStirling numbers of the second kindharmonic numbersbackward difference operatorbinomial transformEuler's series transformation

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Convergence and divergence of infinite limiting processes (40A99)

Related Items (8)

Combinatorial identities and sums for special numbers and polynomials ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Harmonic number identities via polynomials with \(r\)-Lah coefficients ⋮ The binomial transform of p-recursive sequences and the dilogarithm function ⋮ Generating functions for finite sums involving higher powers of binomial coefficients: analysis of hypergeometric functions including new families of polynomials and numbers ⋮ A note on a transform to self-inverse sequences ⋮ On an open problem of Simsek concerning the computation of a family of special numbers

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