利用初等方法和解析方法,研究Smarandache双阶乘函数Sdf(n)与最大素因子函数P(n)的混合函数(Sdf(n)-P(n))^β及δα(n)(Sdf(n)-P(n))^β的均值问题(其中δα(n)为除数函数),得到2个较强的渐近公式.
The elementary method and analytic method were performed to study the mean value problem of hybrid function(Sdf(n)-P(n))^βandδα(n)(Sdf(n)-P(n))^βinvolving the Smarandache doublefactorial function Sdf(n)and the largest prime factor divisor function P(n),whereδα(n)denotes the divisor function.Two sharper asymptotic formulas were proposed.