对于任意正整数n,Smarandache双阶乘函数sdf(n)定义为最小的正整数m,利用初等及解析方法研究Smarandache双阶乘函数sdf(n)的均值估计,得到一个关于函数sdf(n)的均值估计的渐近公式。从而解决了FeliceRusso在文献[4]中提出的问题。
For any positive integer , the Smarandache double factorial is defined as the smallest integer such that where The paper conducts the study of the mean value of the Smaran dache Double Factorial function by the elementary and analytic methods, obtains a sharper asymptotic for- mula for the Smarandache Double Factorial function , and thus solves the problem proposed by Felice Russo in reference [4] .