Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775901 | Applied Mathematics and Computation | 2017 | 16 Pages |
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
Ï(xâj=0âqjxâj)â¼ln(xâj=0âpjxâj),xââ,where Ï 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 Euler-Mascheroni constant, Landau and Lebesgue constants, Glaisher-Kinkelin constant, and Choi-Srivastava constants.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Chao-Ping Chen, Junesang Choi,