Name
Title | ||
|---|---|---|
Unified treatment of several asymptotic expansions concerning some mathematical constants |
Abstract | ||
|---|---|---|
Recently various approximation formulas for some mathematical constants have been investigated and presented by many authors. In this paper, we first find that the relationship between the coefficients pj and qj is such that (xj=0qjxj)ln(xj=0pjxj),x,where is the logarithmic derivative of the gamma function (often referred to as psi function) and p0=q0=1. Next, by using this result, we give a unified treatment of several asymptotic expansions concerning the EulerMascheroni constant, Landau and Lebesgue constants, GlaisherKinkelin constant, and ChoiSrivastava constants. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.amc.2017.02.001 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Euler–Mascheroni constant,Constants of Landau and Lebesgue,Glaisher–Kinkelin constant,Choi–Srivastava constants,Asymptotic expansion | Landau's constants,Glaisher–Kinkelin constant,Mathematical optimization,Mathematical constant,Mathematical analysis,Asymptotic expansion,Lebesgue integration,Mathematics,Mathematical constants and functions,Logarithmic derivative,Euler–Mascheroni constant | Journal |
Volume | Issue | ISSN |
305 | C | 0096-3003 |
Citations | PageRank | References |
0 | 0.34 | 8 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chao-Ping Chen | 1 | 58 | 12.24 |
| Junesang Choi | 2 | 89 | 20.95 |