Estimations of psi function and harmonic numbers

DOI10.1016/J.AMC.2015.02.008zbMath1338.41021OpenAlexW2051766401MaRDI QIDQ300165

Neven Elezović

Publication date: 23 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.008

zbMATH Keywords

exponential functionasymptotic expansionapproximationdigamma functionharmonic numbersEuler constant

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (5)

Sharp inequalities and asymptotic series of a product related to the Euler-Mascheroni constant ⋮ Improvements of the bounds for Ramanujan constant function ⋮ On values of the psi function ⋮ Approximation formulas and inequalities for the Euler-Mascheroni constant ⋮ A logarithmic estimate for harmonic sums and the digamma function, with an application to the Dirichlet divisor problem

Cites Work

• Bernoulli polynomials and asymptotic expansions of the quotient of gamma functions
• New sequence converging towards the Euler-Mascheroni constant
• On an open problem of Chen and Mortici concerning the Euler-Mascheroni constant
• On new sequences converging towards the Euler-Mascheroni constant
• Improving some sequences convergent to Euler-Mascheroni constant
• New asymptotic expansions of the quotient of gamma functions
• Sharp bounds for the psi function and harmonic numbers
• Asymptotic formulae associated with the Wallis power function and digamma function
• The best bounds in Gautschi's inequality
• Asymptotic expansions of the multiple quotients of gamma functions with applications

This page was built for publication: Estimations of psi function and harmonic numbers