广义Ramanujan常数R(a,c-a)的级数展开

Series Expansion of Generalized Ramanujan Constant R(a,c-a)

本文通过Ψ(x)的n阶导数,给出了广义Ramanujan常数R(a,c-a)=-2γ-Ψ(a)-Ψ(c-a)的不同类型的级数展开式,这些级数展开式可以改进R(a,c-a)的一些已知结果。

In this paper,the authors present several kinds of series expansion expressions of generalized Ramanujan constant R(a,c-a)=-2γ-Ψ(a)-Ψ(c-a) by the nth order derivative of Ψ(x).By these results,some known results about R(a,c-a)can be easily improved.