摘要
本文我们讨论了一类广义调和数Hn,k,r(α,β)的性质.特别是,通过取系数法和Riordan阵方法建立了一些包含Hn,k,r(α,β)的组合恒等式.此外,我们通过奇异性分析法和Laplace方法得到了某些包含Hn,k,r(α,β)和式的渐近值.
In this paper, we discuss the properties of a class of generalized harmonic numbers Hn,k,r （α,β）. In particular, by means of the method of coefficients and Riordan arrays, we establish some identities involving Hn,k,r （α,β）. Furthermore, we get the asymptotic values of some summations associated with Hn,k,r （α,β） by the singularity analysis method and the Laplace’s method.
出处
《工程数学学报》
CSCD
北大核心
2014年第1期152-158,共7页
Chinese Journal of Engineering Mathematics
基金
The National Natural Science Foundation of China(11061020)
the Natural Science Foundation of Inner Mongolia(2012MS0118)
关键词
广义调和数
Riordan阵
系数法
渐近值
generalized harmonic numbers
Riordan arrays
method of coefficients
asymptotic values
