Monotonicity, convexity, and complete monotonicity of two functions related to the gamma function

DOI10.1007/s13398-019-00719-zzbMath1426.33005OpenAlexW2964012549WikidataQ127499436 ScholiaQ127499436MaRDI QIDQ2331724

Zhen-Hang Yang, Jing-Feng Tian

Publication date: 30 October 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-019-00719-z

zbMATH Keywords

monotonicitygamma functionconvexitycomplete monotonicitymore accurate bounds

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)

Related Items (9)

An application of theory of distributions to the family of \(\lambda \)-generalized gamma function ⋮ Monotonicities of some functions involving multiple logarithm function and their applications ⋮ Complete monotonicity involving the divided difference of polygamma functions ⋮ Simple, accurate, asymptotic estimates for the ratio of two gamma functions ⋮ Monotonicity and convexity involving generalized elliptic integral of the first kind ⋮ Sharp bounds for the lemniscatic mean by the one-parameter geometric and quadratic means ⋮ A ratio of finitely many gamma functions and its properties with applications ⋮ New properties of the divided difference of psi and polygamma functions ⋮ On the convexity and concavity of generalized complete elliptic integral of the first kind

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