On the Catalan numbers and some of their identities

DOI10.3390/sym11010062zbMath1423.11062OpenAlexW2908717431MaRDI QIDQ2333995

Li Chen, Wen Peng Zhang

Publication date: 13 November 2019

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/sym11010062

zbMATH Keywords

recursive sequenceCatalan numbersconvolution sumselementary and combinatorial methods

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Special sequences and polynomials (11B83)

Related Items (3)

Some Convolution Identities for Catalan Numbers ⋮ On the Chebyshev polynomials and some of their new identities ⋮ A note on the sequence related to Catalan numbers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(q\)-analogs of some congruences involving Catalan numbers
• Modular Catalan numbers
• On quotients of values of Euler's function on the Catalan numbers
• A new identity involving the Chebyshev polynomials
• A new interpretation of the Catalan numbers arising in the theory of crystals
• Applications of Fuss-Catalan numbers to success runs of Bernoulli trials
• Differential equations associated with Catalan-Daehee numbers and their applications
• A new approach to Catalan numbers using differential equations
• Further identities on Catalan numbers
• Congruences on sums of super Catalan numbers
• Some symmetric identities involving Fubini polynomials and Euler numbers
• Integral representations of the Catalan numbers and their applications
• An integral representation, complete monotonicity, and inequalities of the Catalan numbers
• A weighted interpretation for the super Catalan numbers
• A note on Catalan numbers associated with p-adic integral on Zp

This page was built for publication: On the Catalan numbers and some of their identities