Name
Abstract | ||
|---|---|---|
Lugo’s constant L given by L=−12−γ+ln2 is defined as the limit of the sequence (Ln)n∈N defined by Ln:=∑i=1n∑j=1n1i+j−(2ln2)n+lnn(n∈N) as n→∞, N being the set of positive integers. In an earlier investigation [C.-P. Chen, H.M. Srivastava, New representations for the Lugo and Euler–Mascheroni constants, Appl. Math. Lett. 24 (2011) 1239–1244] we established new analytical representations for the Euler–Mascheroni constant γ in terms of the psi (or digamma) function ψ(z), gave the bounds for the difference L−Ln and presented a new sequence which was shown to converge to Lugo’s constant L. In this following article, we establish several further (presumably new) analytical representations for the Euler–Mascheroni constant γ in terms of the psi (or digamma) function ψ(z). |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.aml.2011.09.010 | Applied Mathematics Letters |
Keywords | Field | DocType |
Euler–Mascheroni constant and the gamma function,Weierstrass formula,Lugo’s constant,Psi (or digamma) function,Arithmetical functions,Asymptotic formula | Integer,Discrete mathematics,Mathematical analysis,Digamma function,Euler's formula,Mathematics,Euler–Mascheroni constant | Journal |
Volume | Issue | ISSN |
25 | 3 | 0893-9659 |
Citations | PageRank | References |
2 | 0.44 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chao-Ping Chen | 1 | 58 | 12.24 |
| H. M. Srivastava | 2 | 179 | 43.20 |