Nu function
In mathematics, the nu function is
![{\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}}}](/media/api/rest_v1/media/math/render/svg/c81e17bbea7685e1fd08aa86d0efb3362d774dd4)
where is the Gamma function.[1][2]
See also
References
- ^ Erdélyi, A, Magnus, Tricomi, F. G, W, Oberhettinger (1981). Higher Transcendental Functions, Vol. 3: The Function y(x) and Related Functions. pp. 217–224.
{{cite book}}: CS1 maint: multiple names: authors list (link) - ^ Gradshteyn, I. S., Ryzhik I. M. (1979). Tables of Integrals, Series and Products 5th ed. Academic Press.
{{cite book}}: CS1 maint: multiple names: authors list (link)
External links
- Weisstein, Eric W. function.html "Nu function". MathWorld.
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