Sharp bounds for the psi function and harmonic numbers
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Publication:3094870
DOI10.7153/mia-14-77zbMath1270.11020OpenAlexW2330265936MaRDI QIDQ3094870
Publication date: 27 October 2011
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/mia-14-77
Bell and Stirling numbers (11B73) Gamma, beta and polygamma functions (33B15) Special sequences and polynomials (11B83) Evaluation of number-theoretic constants (11Y60)
Related Items (11)
Monotonicity properties of a function involving the psi function with applications ⋮ The monotonicity and convexity of a function involving psi function with applications ⋮ Estimations of psi function and harmonic numbers ⋮ Improvements of the bounds for Ramanujan constant function ⋮ Inequalities for the inverses of the polygamma functions ⋮ On values of the psi function ⋮ Monotonicity properties on k-digamma function and its related inequalities ⋮ A double inequality for the trigamma function and its applications ⋮ Some inequalities for the trigamma function in terms of the digamma function ⋮ Sharp bounds for psi function ⋮ A logarithmic estimate for harmonic sums and the digamma function, with an application to the Dirichlet divisor problem
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