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 ?
Q (a,z )=[GAMMA](a,z )/r(a) is the regularized incomplete gamma function and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], is the incomplete gamma function, and [GAMMA](a) is Euler gamma function.
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).
Therefore, using the formula for incomplete Gamma function, which is given as
where all the input variables are now explicitly listed in the arguments of the ALDA function, and [GAMMA]F(x, y) denotes the incomplete Gamma function.
1959, Some elementary inequalities relating to the Gamma and incomplete Gamma function, J.
In this paper, we present first some properties of [tau]-hypergeometric function and the hypergeometric confluent function of the second kind and we also define a generalized form of the incomplete gamma function and its complementary.
As a general example, modified expansions for confluent hypergeometric functions are considered in Section 3, and as particular cases expansions for the incomplete gamma function [GAMMA](a, z) and the modified Bessel function [K.
Rudert, Tables of the Incomplete Gamma Function Ratio, Justus von Liebig Verlag, Darmstadt, Germany (1965).
It is interesting to observe that the paradigm of forward recursion for n [is less than or equal to] |x| and backward recursion for n [is greater than] |x| is valid, though for different reasons, also when x is negative and Tricomi's definition of the incomplete gamma function is used (cf.
o] are determined by the method of Molina (1915),(6) which recognizes the isomorphic relationship between the Poisson distribution function and the incomplete gamma function.
In Equation (2), [Gamma] (a) is the gamma function, the integral is the incomplete gamma function denoted by [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
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