Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function
DOI10.1515/ms-2022-0061OpenAlexW4290760547MaRDI QIDQ2164028
Publication date: 12 August 2022
Published in: Mathematica Slovaca (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ms-2022-0061
guessLaplace transformexponential functionderivativeinequalitynecessary and sufficient conditionBernstein's theoremconvolution theoremsumcomplete monotonicityratiodecreasing propertytrigamma functionmonotonicity rule
Convolution as an integral transform (44A35) Gamma, beta and polygamma functions (33B15) Laplace transform (44A10) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Inequalities involving other types of functions (26D07) Exponential and trigonometric functions (33B10)
Related Items (2)
Cites Work
- Monotonicity rules for the ratio of two Laplace transforms with applications
- Complete monotonicity of a function related to the binomial probability
- Monotonicity and inequalities for the gamma function
- A ratio of finitely many gamma functions and its properties with applications
- Qi's conjectures on completely monotonic degrees of remainders of asymptotic formulas of di- and trigamma functions
- Decreasing properties of two ratios defined by three and four polygamma functions
- A necessary and sufficient condition for sequences to be minimal completely monotonic
- From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions
- Asymptotic expansions of Gurland's ratio and sharp bounds for their remainders
- Some properties of several functions involving polygamma functions and originating from the sectional curvature of the beta manifold
- Lower bound of sectional curvature of Fisher-Rao manifold of beta distributions and complete monotonicity of functions involving polygamma functions
- A family of entire functions connecting the Bessel function \(J_1\) and the Lambert \(W\) function
- Necessary and sufficient conditions for complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function
- A class of completely mixed monotonic functions involving the gamma function with applications
- Some logarithmically completely monotonic functions and inequalities for multinomial coefficients and multivariate beta functions
- Increasing property and logarithmic convexity of two functions involving Dirichlet eta function
- Necessary and sufficient conditions for a difference constituted by four derivatives of a function involving trigamma function to be completely monotonic
- A new asymptotic expansion of a ratio of two gamma functions and complete monotonicity for its remainder
- Complete Monotonicity property for two functions related to the q-digamma function
- Bernstein functions. Theory and applications
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