广义Ramanujan常数R(a,c-a)的级数展开
Series Expansion of Generalized Ramanujan Constant R(a,c-a)
DOI: 10.12677/PM.2019.96098, PDF,    科研立项经费支持
作者: 王晓宇, 王 飞*：浙江机电职业技术学院数学教研室，浙江 杭州；周培桂：浙江理工大学科技与艺术学院，浙江 杭州
关键词: 广义Ramanujan常数；Psi函数；级数展开；Generalized Ramanujan Constant； Psi Function； Series Expansion
摘要: 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。
Abstract: 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.
文章引用：王晓宇, 周培桂, 王飞. 广义Ramanujan常数R(a,c-a)的级数展开[J]. 理论数学, 2019, 9(6): 749-754. https://doi.org/10.12677/PM.2019.96098

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