摘要
在无穷级数理论中,p-级数是一个非常重要的数项级数.关于p-级数的收敛性问题早已解决,而其求和问题一直受到人们的关注.近年来,人们试图先解决偶数p-级数的求和问题,虽有进展,但并非理想.本文最终解决了这个问题,获得了偶数p-级数的一个求和显式,并给出了其交错级数的一个求和显式.
p-series is important in the theory of infinite series. The convergence of p-series is solved, but the sum has drawn some attention. Attemps to solve the even p-series summation problem have been made in recent years, with limited progress. This problem is completely solved in that an even p-series summation was obtained, and summation of its alternating series given explicitly.
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第6期557-559,共3页
Journal of Beijing Normal University(Natural Science)
关键词
P-级数
求和
递归式
显式
p-series summatiom explicit recursion
