incomplete gamma function


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incomplete gamma function

[‚in·kəm′plēt ′gam·ə ‚fəŋk·shən]
(mathematics)
Either of the functions γ(a,x) and Γ(a,x) defined by where 0 ≤ x ≤ ∞ and a > 0.
References in periodicals archive ?
where [GAMMA](a,z) = [[integral].sup.[infinity].sub.z] [t.sup.a-1][e.sup.-t]dt denotes the upper incomplete gamma function.
where [mathematical expression not reproducible] is the lower incomplete gamma function. The survival function is
where [gamma](a, z) is the lower incomplete gamma function which is related to the gamma function by [gamma](a, z) = [GAMMA](a) - [GAMMA](a, z), where [GAMMA](a, z) is the upper incomplete gamma function defined by [[integral].sup.[infinity].sub.z] [x.sup.a-1][e.sup.-x]dx.
The Gauss-Chebyshev (GC) is an Integration method which is deployed in order to make the incomplete Gamma function numerical calculation simple.
where [gamma](a, x) stands for the incomplete Gamma function [12, Equation 8.443].
Salem, "On q-analogue of the Incomplete Gamma Function," International Journal of Pure and Applied Mathematics, vol.
Therefore this work proposes a unified non-linear interpretation for thermal analysis data based on the search of parameters E, A with non-linear minimization using the incomplete gamma function to evaluate p(x).
Here, [gamma](x, U) is the incomplete gamma function and U has been defined before.
Denote by [GAMMA](a, z) the upper incomplete gamma function (cf.
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