Decreasing properties of two ratios defined by three and four polygamma functions
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Publication:2073638
DOI10.5802/crmath.296OpenAlexW4210468309MaRDI QIDQ2073638
Publication date: 3 February 2022
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/crmath.296
Gamma, beta and polygamma functions (33B15) Laplace transform (44A10) Inequalities for sums, series and integrals (26D15) Monotonic functions, generalizations (26A48)
Related Items
Increasing property and logarithmic convexity concerning Dirichlet beta function, Euler numbers, and their ratios, Monotonic properties for ratio of the generalized (p,k)-polygamma functions, Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function, Increasing property and logarithmic convexity of two functions involving Dirichlet eta function, Delta L'Hospital-, Laplace- and variable limit-type monotonicity rules on time scales, Increasing property and logarithmic convexity of functions involving Dirichlet lambda function, Monotonicity and complete monotonicity of some functions involving the modified Bessel functions of the second kind, Complete monotonicity involving the divided difference of polygamma functions
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