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Publication:3634269
zbMath1175.26025MaRDI QIDQ3634269
Shi-Qin Zhang, Bai-Ni Guo, Feng Qi
Publication date: 23 June 2009
Full work available at URL: https://eudml.org/doc/55998
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
monotonicityconcavityconvexityGamma functionBinet's first formulaLazarević's inequality\(k\)-log-concave map\(k\)-log-convex mapStolarsky's mean values
Gamma, beta and polygamma functions (33B15) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)
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Completely monotonic degree of a function involving trigamma and tetragamma functions ⋮ The Function (b x − a x )∕x: Ratio’s Properties ⋮ On complete monotonicity of linear combination of finite psi functions ⋮ Integral representations and properties of Stirling numbers of the first kind ⋮ Integral representations and complete monotonicity of remainders of the binet and Stirling formulas for the gamma function ⋮ A class of completely monotonic functions involving the gamma and polygamma functions ⋮ Completely monotonic degrees for a difference between the logarithmic and psi functions ⋮ An integral representation, complete monotonicity, and inequalities of the Catalan numbers
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