Several series identities involving the Catalan numbers

DOI10.1016/j.trmi.2018.07.001zbMath1441.11045OpenAlexW2620430121MaRDI QIDQ2317106

Feng Qi, Li Yin

Publication date: 8 August 2019

Published in: Transactions of A. Razmadze Mathematical Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.trmi.2018.07.001

zbMATH Keywords

Catalan numberdigamma functionRiemannian zeta functionseries identityalternative Hurwitz zeta functionCatalan function

Mathematics Subject Classification ID

Other combinatorial number theory (11B75)

Related Items

The inverse versine function and sums containing reciprocal central binomial coefficients and reciprocal Catalan numbers, The inverse of a triangular matrix and several identities of the Catalan numbers, Integral representations of the Catalan numbers and their applications, Unnamed Item, Several formulas and identities related to Catalan-Qi and \(q\)-Catalan-Qi numbers, Some properties of the Fuss-Catalan numbers

Uses Software

• DLMF

Cites Work

• Series representations for special functions and mathematical constants
• Schur-convexity of the Catalan-Qi function related to the Catalan numbers
• A series involving Catalan numbers: proofs and demonstrations
• Three identities of the Catalan-Qi numbers
• Sharp bounds for harmonic numbers
• Logarithmically complete monotonicity of a function related to the Catalan-Qi function
• Parametric integrals, the Catalan numbers, and the beta function
• Integral representations of the Catalan numbers and their applications
• Convergence of a Catalan Series
• Inequalities for the ratio of complete elliptic integrals
• Interesting Series Involving the Central Binomial Coefficient
• Power Series with Inverse Binomial Coefficients and Harmonic Numbers
• An integral representation, complete monotonicity, and inequalities of the Catalan numbers
• SEVERAL FORMULAS FOR SPECIAL VALUES OF THE BELL POLYNOMIALS OF THE SECOND KIND AND APPLICATIONS
• Catalan Numbers
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item