On complete monotonicity for several classes of functions related to ratios of gamma functions
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Publication:2067743
DOI10.1186/s13660-019-1976-zzbMath1499.33013OpenAlexW2919382251MaRDI QIDQ2067743
Publication date: 19 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-019-1976-z
digamma function\(q\)-analogpolygamma functioncomplete monotonicityratio of gamma functionstrigamma functiontetragamma function
Gamma, beta and polygamma functions (33B15) Laplace transform (44A10) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) (q)-gamma functions, (q)-beta functions and integrals (33D05) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (29)
Convexity and inequalities related to extended beta and confluent hypergeometric functions ⋮ Generalized \(k\)-fractional conformable integrals and related inequalities ⋮ A class of completely monotonic functions involving the polygamma functions ⋮ Completely monotonic degree of a function involving trigamma and tetragamma functions ⋮ An application of theory of distributions to the family of \(\lambda \)-generalized gamma function ⋮ Monotonicity and inequalities related to complete elliptic integrals of the second kind ⋮ Complete monotonicity for a new ratio of finitely many gamma functions ⋮ Affine relation between an infinitely divisible distribution function and its Lévy measure ⋮ A Solution to Qi's Eighth Open Problem on Complete Monotonicity ⋮ Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution ⋮ Complete monotonicity involving the divided difference of polygamma functions ⋮ Integral representations, monotonic properties, and inequalities on extended central binomial coefficient ⋮ INEQUALITIES AND COMPLETE MONOTONICITY FOR THE GAMMA AND RELATED 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 ⋮ A Solution to fourth Qi's Conjecture on a complete monotonicity ⋮ A ratio of finitely many gamma functions and its properties with applications ⋮ New properties of the divided difference of psi and polygamma functions ⋮ A new asymptotic expansion of a ratio of two gamma functions and complete monotonicity for its remainder ⋮ Necessary and sufficient conditions for complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function ⋮ Logarithmically complete monotonicity of ratios of \(q\)-gamma functions ⋮ Some completely monotonic functions involving the polygamma functions ⋮ Completely monotonic degrees for a difference between the logarithmic and psi functions ⋮ Completely monotonicity of class functions involving the polygamma and related functions ⋮ 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 ⋮ Monotonicity properties for a ratio of finite many gamma functions ⋮ A closed-form expression of a remarkable sequence of polynomials originating from a family of entire functions connecting the Bessel and Lambert functions ⋮ Bounds for completely monotonic degrees of remainders in asymptotic expansions of the digamma function
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