AbstractBy combining inverse series relations with binomial convolutions and telescoping method, moments of Catalan numbers are evaluated, which resolves a problem recently proposed by Gutiérrez et al. [J.M. Gutiérrez, M.A. Hernández, P.J. Miana, N. Romero, New identities in the Catalan triangle, J. Math. Anal. Appl. 341 (1) (2008) 52–61]
AbstractWe present a method for proving q-series identities by combinatorial telescoping, in the sen...
AbstractWe investigate a method for the numerical evaluation of integrals over [-1,1] of functions o...
Five binomial sums are extended by a free parameter $m$, that are shown, through the generating func...
AbstractBy using the Newton interpolation formula, we generalize the recent identities on the Catala...
AbstractIn this work, the authors present several formulas which compute the following Euler’s type ...
AbstractWe prove addition formulas for some polynomials built on combinatorial sequences (Catalan nu...
AbstractIn this work we obtain a new approach to closed expressions for sums of products of Bernoull...
AbstractUsing the exponential generating function and the Bell polynomials, we obtain several new id...
AbstractAs a generalization of Calkin's identity and its alternating form, we compute a kind of bino...
An identity for the finite sum 1^N rac{z^n}{q^n-r} is given. Related sums (or series) were studied ...
AbstractMotivated by the resemblance of a multivariate series identity and a finite analogue of Eule...
AbstractIn this work, we propose two new methods for the determination of new identities for Bell's ...
AbstractIn this paper, we study closed form evaluation for some special Hankel determinants arising ...
Based on a previous technique deployed in some specific low order cases, we develop an automated comp...
Based on a previous technique deployed in some specific low order cases, we develop an automated comp...
AbstractWe present a method for proving q-series identities by combinatorial telescoping, in the sen...
AbstractWe investigate a method for the numerical evaluation of integrals over [-1,1] of functions o...
Five binomial sums are extended by a free parameter $m$, that are shown, through the generating func...
AbstractBy using the Newton interpolation formula, we generalize the recent identities on the Catala...
AbstractIn this work, the authors present several formulas which compute the following Euler’s type ...
AbstractWe prove addition formulas for some polynomials built on combinatorial sequences (Catalan nu...
AbstractIn this work we obtain a new approach to closed expressions for sums of products of Bernoull...
AbstractUsing the exponential generating function and the Bell polynomials, we obtain several new id...
AbstractAs a generalization of Calkin's identity and its alternating form, we compute a kind of bino...
An identity for the finite sum 1^N rac{z^n}{q^n-r} is given. Related sums (or series) were studied ...
AbstractMotivated by the resemblance of a multivariate series identity and a finite analogue of Eule...
AbstractIn this work, we propose two new methods for the determination of new identities for Bell's ...
AbstractIn this paper, we study closed form evaluation for some special Hankel determinants arising ...
Based on a previous technique deployed in some specific low order cases, we develop an automated comp...
Based on a previous technique deployed in some specific low order cases, we develop an automated comp...
AbstractWe present a method for proving q-series identities by combinatorial telescoping, in the sen...
AbstractWe investigate a method for the numerical evaluation of integrals over [-1,1] of functions o...
Five binomial sums are extended by a free parameter $m$, that are shown, through the generating func...
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