Integral representations of the large and little Schröder numbers

DOI10.1007/s13226-018-0258-7zbMath1398.05031OpenAlexW2791564189MaRDI QIDQ1799419

Xiao-Ting Shi, Feng Qi, Bai-Ni Guo

Publication date: 18 October 2018

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-018-0258-7

zbMATH Keywords

Stieltjes transformintegral representationgenerating functionBernstein functioncomplete monotonicitylarge Schröder numberlittle Schröder numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Other combinatorial number theory (11B75)

Related Items (6)

Integral representations of bivariate complex geometric mean and their applications ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A ratio of finitely many gamma functions and its properties with applications ⋮ Catalan and Motzkin integral representations ⋮ Several formulas and identities related to Catalan-Qi and \(q\)-Catalan-Qi numbers

Cites Work

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• On the degree of the weighted geometric mean as a complete Bernstein function
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• Some explicit and recursive formulas of the large and little Schröder numbers
• Some properties of the Schröder numbers
• Integral representations of the Catalan numbers and their applications
• An integral representation for the weighted geometric mean and its applications
• Lévy-Khintchine representations of the weighted geometric mean and the logarithmic mean
• Integral representation of some functions related to the gamma function
• Lévy-Khintchine representation of the geometric mean of many positive numbers and applications
• The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function
• A property of logarithmically absolutely monotonic functions and the logarithmically complete monotonicity of a power-exponential function
• Some properties of functions related to the gamma and psi functions
• Bernstein functions. Theory and applications

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