Some monotonicity properties and inequalities for the generalized digamma and polygamma functions

Author:

Yin Li,Huang Li-Guo,Song Zhi-Min,Dou Xiang Kai

Funder

NSFC

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference49 articles.

1. Abramowitz, M., Stegun, I. (eds.): Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables. Dover, New York (1965)

2. Alzer, H.: On some inequalities for the gamma and psi function. Math. Comput. 66, 373–389 (1997)

3. Alzer, H.: Sharp inequalities for the digamma and polygamma functions. Forum Math. 16, 181–221 (2004)

4. Alzer, H.: Sharp inequalities for the harmonic numbers. Expo. Math. 24(4), 385–388 (2006)

5. Batir, N.: Some new inequalities for gamma and polygamma functions. J. Inequal. Pure Appl. Math. 6(4), Article ID 103 (2005)

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