[求助] 涉及伽马函数的级数极限

4楼: Originally posted by i维数 at 2016-06-09 12:12:27
谢谢大神！第三项那个系数确实是一样的。...

2楼: Originally posted by hank612 at 2016-06-09 05:47:42
偷偷问一下, In中那个级数在a=0+处渐近展开是不是等于(asymptotic expansion)

\sqrt{2\pi}a^{-\frac{1}{4}}(1+\sum_{k=1}^{\infty}\frac{a^k}{k!}\prod_{m=1}^k ((2k-1)^2-\frac{1}{4}))?

我只知道第一项和第 ...

2楼: Originally posted by hank612 at 2016-06-09 05:47:42
偷偷问一下, In中那个级数在a=0+处渐近展开是不是等于(asymptotic expansion)

\sqrt{2\pi}a^{-\frac{1}{4}}(1+\sum_{k=1}^{\infty}\frac{a^k}{k!}\prod_{m=1}^k ((2k-1)^2-\frac{1}{4}))?

我只知道第一项和第 ...