AbstractA remarkably simple proof is presented for an interesting generalization of a combinatorial identity given recently by L. Vietoris [Monatsh. Math. 97 (1984) 157–160]. It is also shown how this general result can be extended further to hold true for basic (or q-) series
This paper presents a general method for proving and discovering combinatorial identities: to prove ...
AbstractWe give a combinatorial proof that the coefficient of zAB in a certain rational function is ...
在這篇論文中，我們主要是研究一個組合等式如下：∑_(i=0)^n▒∑_(j=0)^i▒〖C(n,i)C(n+1,j)=?〗在解這個等式時，我們將不使用一般的計算方式：而採用了建構一個對射函數（bije...
AbstractA remarkably simple proof is presented for an interesting generalization of a combinatorial ...
AbstractA binomial coefficient identity equivalent to Saalschutz's summation of a 3F2 hypergeometric...
Recently, the authors have shown that a certain combinatorial identity in terms of generators of qua...
We obtain a three-parameter q-series identity that generalizes two results of Chan and Mao. By speci...
AbstractThe authors developed closed-form sums of several interesting families of series associated ...
Recently, the authors have shown that a certain combinatorial identity in terms of generators of qua...
Ruscheweyh and Salinas showed in 2004 the relationship of a celebrated theorem of Vietoris (1958) ab...
AbstractThe problem of proving a particular binomial identity is taken as an opportunity to discuss ...
The so-called Vietoris' number sequence is a sequence of rational numbers that appeared for the rs...
AbstractHere introduced is a class of combinatorial sums that can be treated by means of an embeddin...
AbstractLet p = p(a, b, c) be the number of partitions of a into b parts, no part exceeding c. Bella...
AbstractIn this paper following some ideas introduced by Andrews (Combinatorics and Ramanujan's “los...
This paper presents a general method for proving and discovering combinatorial identities: to prove ...
AbstractWe give a combinatorial proof that the coefficient of zAB in a certain rational function is ...
在這篇論文中，我們主要是研究一個組合等式如下：∑_(i=0)^n▒∑_(j=0)^i▒〖C(n,i)C(n+1,j)=?〗在解這個等式時，我們將不使用一般的計算方式：而採用了建構一個對射函數（bije...
AbstractA remarkably simple proof is presented for an interesting generalization of a combinatorial ...
AbstractA binomial coefficient identity equivalent to Saalschutz's summation of a 3F2 hypergeometric...
Recently, the authors have shown that a certain combinatorial identity in terms of generators of qua...
We obtain a three-parameter q-series identity that generalizes two results of Chan and Mao. By speci...
AbstractThe authors developed closed-form sums of several interesting families of series associated ...
Recently, the authors have shown that a certain combinatorial identity in terms of generators of qua...
Ruscheweyh and Salinas showed in 2004 the relationship of a celebrated theorem of Vietoris (1958) ab...
AbstractThe problem of proving a particular binomial identity is taken as an opportunity to discuss ...
The so-called Vietoris' number sequence is a sequence of rational numbers that appeared for the rs...
AbstractHere introduced is a class of combinatorial sums that can be treated by means of an embeddin...
AbstractLet p = p(a, b, c) be the number of partitions of a into b parts, no part exceeding c. Bella...
AbstractIn this paper following some ideas introduced by Andrews (Combinatorics and Ramanujan's “los...
This paper presents a general method for proving and discovering combinatorial identities: to prove ...
AbstractWe give a combinatorial proof that the coefficient of zAB in a certain rational function is ...
在這篇論文中，我們主要是研究一個組合等式如下：∑_(i=0)^n▒∑_(j=0)^i▒〖C(n,i)C(n+1,j)=?〗在解這個等式時，我們將不使用一般的計算方式：而採用了建構一個對射函數（bije...
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