Monotonicity results for functions involving the $q$-polygamma functions

Inequalities for sums, series and integrals (26D15) Monotonic functions, generalizations (26A48) (q)-gamma functions, (q)-beta functions and integrals (33D05)

Cites Work

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A completely monotonic function involving $q$-gamma and $q$-digamma functions
Some completely monotonic functions associated with the $q$-gamma and the $q$-polygamma functions
The q-analogue of Stirling's formula
On Frame's inequalities
Complete monotonicity of some functions involving polygamma functions
On non-monotonic ageing properties from the Laplace transform, with actuarial applications
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On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind
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Sur les fonctions absolument monotones.
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Logarithmically complete monotonicity of ratios of $q$-gamma functions
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Properties of the power-mean and their applications
A harmonic mean inequality for the $q$-gamma function
A sharp lower bound for the complete elliptic integrals of the first kind
Sharp bounds for the weighted Hölder mean of the zero-balanced generalized complete elliptic integrals
Functional inequalities and monotonicity results for modified Lommel functions of the first kind
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Completely monotonic functions involving the gamma and $q$-gamma functions
Inequalities for the Polygamma Functions
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Complete Monotonicity property for two functions related to the q-digamma function
Monotonicity and inequalities involving zero-balanced hypergeometric function
Improvements of bounds for the q-gamma and the $q$-polygamma functions
On some inequalities for the gamma and psi functions
Mean-value inequalities for the polygamma functions

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Monotonicity results for functions involving the \(q\)-polygamma functions