[PDF][PDF] Identities involving reciprocals of binomial coefficients

B Sury, T Wang, FZ Zhao - J. Integer Seq, 2004 - kurims.kyoto-u.ac.jp
Identities Involving Reciprocals of Binomial Coefficients Page 1 23 11 Article 04.2.8 Journal of
Integer Sequences, Vol. 7 (2004), 2 3 6 1 47 Identities Involving Reciprocals of Binomial …

[PDF][PDF] Sums of reciprocals of the central binomial coefficients

R Sprugnoli - Integers, 2006 - flore.unifi.it
We consider a set of combinatorial sums involving the reciprocals of the central binomial
coefficients and try to solve (or close) them by means of generating functions. We obtain a …

Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers

Y Simsek - Mathematical Methods in the Applied Sciences, 2015 - Wiley Online Library
We give some alternative forms of the generating functions for the Bernstein basis functions.
Using these forms, we derive a collection of functional equations for the generating …

Combinatorial identities and inverse binomial coefficients

T Mansour - Advances in Applied Mathematics, 2002 - Elsevier
Combinatorial Identities and Inverse Binomial Coefficients Page 1 Advances in Applied
Mathematics 28, 196–202 (2002) doi:10.1006/aama.2001.0774, available online at http://www.idealibrary.com …

Combinatorial sums and binomial identities associated with the Beta-type polynomials

Y Şimşek - Hacettepe Journal of Mathematics and Statistics, 2018 - dergipark.org.tr
In this paper, we first provide some functional equations of the generating functions for beta-
type polynomials. Using these equations, we derive various identities of the beta-type …

Binomial sums involving harmonic numbers

M Genčev - Mathematica Slovaca, 2011 - Springer
This paper develops the approach to the evaluation of a class of infinite series that involve
special products of binomial type, generalized harmonic numbers of order 1 and rational …

Finite sums involving reciprocals of the binomial and central binomial coefficients and harmonic numbers

N Batir, A Sofo - Symmetry, 2021 - mdpi.com
Symmetry | Free Full-Text | Finite Sums Involving Reciprocals of the Binomial and Central
Binomial Coefficients and Harmonic Numbers Next Article in Journal Fullerene-Filtered Light …

[PDF][PDF] General properties involving reciprocals of binomial coefficients

A Sofo - Journal of Integer Sequences, 2006 - emis.de
General Properties Involving Reciprocals of Binomial Coefficients Page 1 23 11 Article 06.4.5
Journal of Integer Sequences, Vol. 9 (2006), 2 3 6 1 47 General Properties Involving …

The integrality of the Genocchi numbers obtained through a new identity and other results

B Farhi - arXiv preprint arXiv:2204.12760, 2022 - arxiv.org
In this note, we investigate some properties of the integer sequence of general term $
a_n:=\sum_ {k= 0}^{n-1} k!(nk-1)! $($\forall n\geq 1$) to derive a new identity of the Genocchi …

[PDF][PDF] Some results for sums of the inverses of binomial coefficients

FZ Zhao, T Wang - Integers, 2005 - emis.dsd.sztaki.hu
SOME RESULTS FOR SUMS OF THE INVERSES OF BINOMIAL COEFFICIENTS Feng-Zhen
Zhao Tianming Wang Abstract In this paper, the authors Page 1 INTEGERS: ELECTRONIC …