Add to ORKGBy a very simple argument, we prove that if l, m, n ∈ {0, 1, 2,...} then l� (−1) m−k � l m −
In this present paper we will show you some interesting identity involving combinatorial symbols...
AbstractA conjecture of Chunwei Song on a limiting case of the q,t-Schröder theorem is proved combin...
AbstractA proof is given for the novel identity [x+aa][y+bb]=∑k=0m[x+y+kk][x+a−ba−k][y+b−ab−k]q(a−k)...
In this article, we prove a conjecture about the equality of two generating functions described in "...
In this paper, we consider sequences comprised of n (m − 1)’s and r −1’s (where m ≥ 2) with the sum ...
In this paper we obtain the moments {m}m0 defined by. where (mn) is the usual combinatorial number. ...
AbstractIn this paper we obtain the moments {Φm}m⩾0 defined byΦm(n):=∑p=1n+1(2p−1)m(2n+1n+1−p)2,n∈N,...
Abstract. We prove a combinatorial identity which arose from considering the relation rp(x,y,z) = (x...
AbstractWe prove by the theory of algebraic numbers a result (Theorem 3) which, together with our ea...
AbstractIn this paper a very short proof is given of an identity concerning Catalan numbers due orig...
In the paper, the authors collect several integral representations of the Catalan numbers and centra...
Abstract. We prove a combinatorial identity which arose from considering the relation rp(x,y,z) = (x...
Abstract We prove various congruences for Catalan and Motzkin numbers as well as related sequences. ...
AbstractThe Catalan conjecture asserts that the equation XU−YV=1 with U,V>1 has no other solution in...
The latest talk in the Mathematics Colloquium Series will convey the richness and diversity of the f...
In this present paper we will show you some interesting identity involving combinatorial symbols...
AbstractA conjecture of Chunwei Song on a limiting case of the q,t-Schröder theorem is proved combin...
AbstractA proof is given for the novel identity [x+aa][y+bb]=∑k=0m[x+y+kk][x+a−ba−k][y+b−ab−k]q(a−k)...
In this article, we prove a conjecture about the equality of two generating functions described in "...
In this paper, we consider sequences comprised of n (m − 1)’s and r −1’s (where m ≥ 2) with the sum ...
In this paper we obtain the moments {m}m0 defined by. where (mn) is the usual combinatorial number. ...
AbstractIn this paper we obtain the moments {Φm}m⩾0 defined byΦm(n):=∑p=1n+1(2p−1)m(2n+1n+1−p)2,n∈N,...
Abstract. We prove a combinatorial identity which arose from considering the relation rp(x,y,z) = (x...
AbstractWe prove by the theory of algebraic numbers a result (Theorem 3) which, together with our ea...
AbstractIn this paper a very short proof is given of an identity concerning Catalan numbers due orig...
In the paper, the authors collect several integral representations of the Catalan numbers and centra...
Abstract. We prove a combinatorial identity which arose from considering the relation rp(x,y,z) = (x...
Abstract We prove various congruences for Catalan and Motzkin numbers as well as related sequences. ...
AbstractThe Catalan conjecture asserts that the equation XU−YV=1 with U,V>1 has no other solution in...
The latest talk in the Mathematics Colloquium Series will convey the richness and diversity of the f...
In this present paper we will show you some interesting identity involving combinatorial symbols...
AbstractA conjecture of Chunwei Song on a limiting case of the q,t-Schröder theorem is proved combin...
AbstractA proof is given for the novel identity [x+aa][y+bb]=∑k=0m[x+y+kk][x+a−ba−k][y+b−ab−k]q(a−k)...