On some properties of digamma and polygamma functions
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Publication:864706
DOI10.1016/j.jmaa.2006.05.065zbMath1105.33002OpenAlexW2051449379MaRDI QIDQ864706
Publication date: 12 February 2007
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.05.065
Gamma, beta and polygamma functions (33B15) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Other analytical inequalities (26D20) Inequalities involving other types of functions (26D07)
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Cites Work
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- A subadditive property of the gamma function.
- A power mean inequality for the gamma function
- Some Extensions of W. Gautschi's Inequalities for the Gamma Function
- The Power and Generalized Logarithmic Means
- Inequalities for the Polygamma Functions
- ON RAMANUJAN'S DOUBLE INEQUALITY FOR THE GAMMA FUNCTION
- Sharp inequalities for the digamma and polygamma functions
- INEQUALITIES INVOLVING GAMMA AND PSI FUNCTIONS
- Differential and integral f-means and applications to digamma function
- The best bounds in Gautschi's inequality
- Some properties of the gamma and psi functions, with applications
- Inequalities for the gamma function
- ON A GAMMA FUNCTION INEQUALITY OF GAUTSCHI
- A Stochastic Approach to the Gamma Function
- Inequalities for Zero-Balanced Hypergeometric Functions
- On some inequalities for the gamma and psi functions
