AbstractIn this paper a very short proof is given of an identity concerning Catalan numbers due originally to Touchard
In the paper, the authors collect several integral representations of the Catalan numbers and centra...
We give a direct and simple proof of Touchard's continued fraction, provide an extension of it, and ...
Ramírez recently conjectured a version of Catalan’s identity for the k-Fibonacci quaternions. In thi...
AbstractIn this paper a general identity is proved which includes among its special cases a recurren...
AbstractIn this paper a very short proof is given of an identity concerning Catalan numbers due orig...
AbstractIn this paper a general identity is proved which includes among its special cases a recurren...
In the paper, the authors find three new identities of the Catalan-Qi numbers and provide alternativ...
In the paper, the authors find three new identities of the Catalan-Qi numbers and provide alternativ...
This paper is about the Catalan numbers. The paper is organized as fol-lows: section 1 presents a wi...
In the paper, the authors discover several series identities involving the Catalan numbers, the Cata...
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 survey integral representations of the Catalan numbers and the Catalan–Qi ...
In this article, we prove a conjecture about the equality of two generating functions described in "...
Abstract. We give a brief history of Catalan numbers, from their first discovery in the 18th century...
Abstract. We give a brief history of Catalan numbers, from their first discovery in the 18th century...
In the paper, the authors collect several integral representations of the Catalan numbers and centra...
We give a direct and simple proof of Touchard's continued fraction, provide an extension of it, and ...
Ramírez recently conjectured a version of Catalan’s identity for the k-Fibonacci quaternions. In thi...
AbstractIn this paper a general identity is proved which includes among its special cases a recurren...
AbstractIn this paper a very short proof is given of an identity concerning Catalan numbers due orig...
AbstractIn this paper a general identity is proved which includes among its special cases a recurren...
In the paper, the authors find three new identities of the Catalan-Qi numbers and provide alternativ...
In the paper, the authors find three new identities of the Catalan-Qi numbers and provide alternativ...
This paper is about the Catalan numbers. The paper is organized as fol-lows: section 1 presents a wi...
In the paper, the authors discover several series identities involving the Catalan numbers, the Cata...
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 survey integral representations of the Catalan numbers and the Catalan–Qi ...
In this article, we prove a conjecture about the equality of two generating functions described in "...
Abstract. We give a brief history of Catalan numbers, from their first discovery in the 18th century...
Abstract. We give a brief history of Catalan numbers, from their first discovery in the 18th century...
In the paper, the authors collect several integral representations of the Catalan numbers and centra...
We give a direct and simple proof of Touchard's continued fraction, provide an extension of it, and ...
Ramírez recently conjectured a version of Catalan’s identity for the k-Fibonacci quaternions. In thi...