In mathematics, the nu function is a generalization of the reciprocal gamma function of the Laplace transform.
Formally, it can be defined as
![{\displaystyle {\begin{aligned}\nu (x)&\equiv \int _{0}^{\infty }{\frac {x^{t}\,dt}{\Gamma (t+1)}}\\[10pt]\nu (x,\alpha )&\equiv \int _{0}^{\infty }{\frac {x^{\alpha +t}\,dt}{\Gamma (\alpha +t+1)}}\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c81e17bbea7685e1fd08aa86d0efb3362d774dd4)
where is the Gamma function.
In mathematics, the nu function is a generalization of the reciprocal gamma function of the Laplace transform.
Formally, it can be defined as
where is the Gamma function.
