In this paper we obtain the moments {m}m0 defined by. where (mn) is the usual combinatorial number. We also provide the moments in the Catalan triangle whose (n,p) entry is defined by. and, in particular, new identities involving the well-known Catalan numbers. © 2010 Elsevier Inc
We consider three problems from the recent issues of the American Mathematical Monthly involving dif...
We consider three problems from the recent issues of the American Mathematical Monthly involving dif...
Liu, DZ (reprint author), Univ Talca, Inst Matemat & Fis, Casilla 747, Talca, ChileIn this paper we ...
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 give a combinatorial interpretation using lattice paths for the super Catalan number S(...
In this chapter, we consider the Catalan numbers, C n = 1 n + 1 2 n n , and two...
In this paper we prove new identities in the Catalan triangle whose (n, p) entry is defined byB n, p...
In this note we give a survey about polynomials whose moments are multiples of super Catalan numbers...
We explain how the moments of the (weight function of the) Askey-Wilson polynomials are related to t...
This paper is about the Catalan numbers. The paper is organized as fol-lows: section 1 presents a wi...
By a very simple argument, we prove that if l, m, n ∈ {0, 1, 2,...} then l� (−1) m−k � l m −
In the paper, the authors collect several integral representations of the Catalan numbers and centra...
The latest talk in the Mathematics Colloquium Series will convey the richness and diversity of the f...
We consider three problems from the recent issues of the American Mathematical Monthly involving dif...
We consider three problems from the recent issues of the American Mathematical Monthly involving dif...
We consider three problems from the recent issues of the American Mathematical Monthly involving dif...
We consider three problems from the recent issues of the American Mathematical Monthly involving dif...
Liu, DZ (reprint author), Univ Talca, Inst Matemat & Fis, Casilla 747, Talca, ChileIn this paper we ...
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 give a combinatorial interpretation using lattice paths for the super Catalan number S(...
In this chapter, we consider the Catalan numbers, C n = 1 n + 1 2 n n , and two...
In this paper we prove new identities in the Catalan triangle whose (n, p) entry is defined byB n, p...
In this note we give a survey about polynomials whose moments are multiples of super Catalan numbers...
We explain how the moments of the (weight function of the) Askey-Wilson polynomials are related to t...
This paper is about the Catalan numbers. The paper is organized as fol-lows: section 1 presents a wi...
By a very simple argument, we prove that if l, m, n ∈ {0, 1, 2,...} then l� (−1) m−k � l m −
In the paper, the authors collect several integral representations of the Catalan numbers and centra...
The latest talk in the Mathematics Colloquium Series will convey the richness and diversity of the f...
We consider three problems from the recent issues of the American Mathematical Monthly involving dif...
We consider three problems from the recent issues of the American Mathematical Monthly involving dif...
We consider three problems from the recent issues of the American Mathematical Monthly involving dif...
We consider three problems from the recent issues of the American Mathematical Monthly involving dif...
Liu, DZ (reprint author), Univ Talca, Inst Matemat & Fis, Casilla 747, Talca, ChileIn this paper we ...
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