TOPICS
Search

Alpha Function

AlphaFunction
alpha_n(z)=int_1^inftyt^ne^(-zt)dt
(1)
=n!z^(-(n+1))e^(-z)sum_(k=0)^(n)(z^k)/(k!).
(2)

It is equivalent to

alpha_n(z)=E_(-n)(z),
(3)

where E_n(z) is the En-function.

See also

Beta Exponential Function, En-Function

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Alpha Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AlphaFunction.html

Subject classifications