Logarithmically complete monotonicity of a function related to the Catalan-Qi function

DOI10.1515/ausm-2016-0006zbMath1419.11046OpenAlexW2475818101MaRDI QIDQ739145

Feng Qi, Bai-Ni Guo

Publication date: 17 August 2016

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ausm-2016-0006

zbMATH Keywords

Catalan numberCatalan-Qi functionlogarithmically complete monotonicity

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Other combinatorial number theory (11B75) Special sequences and polynomials (11B83) Monotonic functions, generalizations (26A48) Evaluation of number-theoretic constants (11Y60) Analytic computations (11Y35) Calculation of integer sequences (11Y55)

Related Items

Several explicit and recursive formulas for generalized Motzkin numbers ⋮ The inverse of a triangular matrix and several identities of the Catalan numbers ⋮ Integral representations of the Catalan numbers and their applications ⋮ Schur-convexity of the Catalan-Qi function related to the Catalan numbers ⋮ Three identities of the Catalan-Qi numbers ⋮ Two explicit formulas for the generalized Motzkin numbers ⋮ Logarithmically complete monotonicity of a function related to the Catalan-Qi function ⋮ Several formulas and identities related to Catalan-Qi and \(q\)-Catalan-Qi numbers ⋮ Several series identities involving the Catalan numbers ⋮ Some properties of the Fuss-Catalan numbers ⋮ An integral representation, complete monotonicity, and inequalities of the Catalan numbers

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