About the accurate value of ψ （ x ） = Γ′ （ x ） / Γ （ x）, we know only ψ （1）and ψ （1/ 2）.In this paper, by calculating the accurate values of some series expansion of a function and applying some skills...About the accurate value of ψ （ x ） = Γ′ （ x ） / Γ （ x）, we know only ψ （1）and ψ （1/ 2）.In this paper, by calculating the accurate values of some series expansion of a function and applying some skills of complex analysis, we prove that the expression of the ψ-function admits a finite expression in elementary function for rational number z. As an application, some examples are given.展开更多
基金Supported by the National Natural Science Foundation of China (10926128)
文摘About the accurate value of ψ （ x ） = Γ′ （ x ） / Γ （ x）, we know only ψ （1）and ψ （1/ 2）.In this paper, by calculating the accurate values of some series expansion of a function and applying some skills of complex analysis, we prove that the expression of the ψ-function admits a finite expression in elementary function for rational number z. As an application, some examples are given.
