New representations for the Lugo and Euler-Mascheroni constants

DOI10.1016/J.AML.2011.02.015zbMath1216.33005OpenAlexW2042069712MaRDI QIDQ533488

Chao-Ping Chen, Hari M. Srivastava

Publication date: 3 May 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.02.015

zbMATH Keywords

gamma functionpsi (or digamma) functionarithmetical functionsEuler-Mascheroni constantLugo's constantWeierstrass formulaspeed of convergence and approximation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gamma, beta and polygamma functions (33B15)

Related Items (5)

Optimal bounds for the generalized Euler-Mascheroni constant ⋮ Approximations to the Euler-Mascheroni constant ⋮ Inequalities for the Lugo and Euler-Mascheroni constants ⋮ New representations for the Lugo and Euler-Mascheroni constants. II ⋮ Asymptotic expansions for certain mathematical constants and special functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inequalities for the Euler-Mascheroni constant
• Some mathematical constants
• New approximations of the gamma function in terms of the digamma function
• Integral Representations for the Euler-Mascheroni Constant γ
• Product Approximations via Asymptotic Integration
• Inequalities for the gamma function relating to asymptotic expansions
• Inequalities and Monotonicity properties for some special functions
• On some inequalities for the gamma and psi functions

This page was built for publication: New representations for the Lugo and Euler-Mascheroni constants