Completely monotonic functions related to the gamma and the \(q\)-gamma functions
From MaRDI portal
Publication:506282
DOI10.1007/s13398-016-0293-3zbMath1354.33001OpenAlexW2320682263MaRDI QIDQ506282
Publication date: 31 January 2017
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/s13398-016-0293-3
Gamma, beta and polygamma functions (33B15) Monotonic functions, generalizations (26A48) (q)-gamma functions, (q)-beta functions and integrals (33D05) Inequalities involving other types of functions (26D07)
Related Items (4)
Sharp bounds for the \(q\)-gamma function in terms of the Lambert \(W\) function ⋮ Sharp lower and upper bounds for the q-gamma function ⋮ Complete Monotonicity property for two functions related to the q-digamma function ⋮ Sharp bounds for a ratio of the \(q\)-gamma function in terms of the \(q\)-digamma function
Cites Work
- Two classes of bounds for \(q\)-gamma and \(q\)-digamma functions in terms of \(q\)-zeta functions
- \(q\)-extensions of some estimates associated with the digamma function
- On Ramanujan's large argument formula for the gamma function
- 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
- New approximation formulas for evaluating the ratio of gamma functions
- Estimating the digamma and trigamma functions by completely monotonicity arguments
- The q-analogue of Stirling's formula
- Inequalities for the gamma and \(q\)-gamma functions
- The \(q\)-gamma function for \(q>1\)
- Convexity and \(q\)-gamma function
- Inequalities for quasiconformal mappings in space
- Summations for basic hypergeometric series involving a \(q\)-analogue of the digamma function
- Monotonicity properties of \(q\)-digamma and \(q\)-trigamma functions
- An infinite class of completely monotonic functions involving the \(q\)-gamma function
- Monotonic functions related to the \(q\)-gamma function
- Some properties and expansions associated with theq-digamma function
- On the q-beta function inequalities
- On Gospers formula for the Gamma function
- Some completely monotonic functions relating to the gamma function
- Inequalities and monotonicity properties for gamma and q-gamma functions
- Complete monotonicity properties of functions involving q-gamma and q-digamma functions
- Completely monotonic functions related to the q-gamma and the q-trigamma functions
- What is the Laplace Transform?
- Unnamed Item
This page was built for publication: Completely monotonic functions related to the gamma and the \(q\)-gamma functions