Does anyone know if we currently have an infinite series summation general solution for the gamma function such as,(adsbygoogle = window.adsbygoogle || []).push({});

$$\frac{1}{\Gamma(k)}=\sum_{n=0}^{\infty} f(n,k)$$

or,

$${\Gamma(k)}=\sum_{n=0}^{\infty} f(n,k)$$?

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# Do we have a general solution infinite series for the gamma function?

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