Notes on three conjectures involving the digamma and generalized digamma functions
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Publication:2061485
DOI10.1186/s13660-018-1936-zzbMath1498.33002OpenAlexW2905443037WikidataQ60302975 ScholiaQ60302975MaRDI QIDQ2061485
Publication date: 15 December 2021
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-018-1936-z
Gamma, beta and polygamma functions (33B15) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)
Related Items (2)
Complete monotonicity and inequalities related to generalized \(k\)-gamma and \(k\)-polygamma functions ⋮ Complete monotonicity of some functions involving k-digamma function with application
Cites Work
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- On a \((p, k)\)-analogue of the gamma function and some associated inequalities
- Necessary and sufficient conditions for a class of functions and their reciprocals to be logarithmically completely monotonic
- A class of logarithmically completely monotonic functions associated with a gamma function
- Logarithmically complete monotonicity properties relating to the gamma function
- Sharp bounds for psi function
- Optimal bounds for the generalized Euler-Mascheroni constant
- Some monotonicity properties and inequalities for the generalized digamma and polygamma functions
- Quadratic transformation inequalities for Gaussian hypergeometric function
- Sharp inequalities for the harmonic numbers
- A double inequality for gamma function
- Monotonic and logarithmically convex properties of a function involving gamma functions
- Inequalities and infinite product formula for Ramanujan generalized modular equation function
- Monotonicity, concavity, and inequalities related to the generalized digamma function
- On rational bounds for the gamma function
- An alternative proof of Elezović-Giordano-Pečarić's theorem
- Sharp Gautschi inequality for parameter 0<p<1 with applications
- On approximating the error function
- Landen inequalities for a class of hypergeometric functions with applications
- Some completely monotonic functions involving the gamma and polygamma functions
- On some inequalities for the gamma and psi functions
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