The Asymptotic Expansion of the Incomplete Gamma Functions
نویسندگان
چکیده
منابع مشابه
A uniform asymptotic expansion for the incomplete gamma functions revisited
A new uniform asymptotic expansion for the incomplete gamma function Γ(a, z) valid for large values of z was given by the author in J. Comput. Appl. Math. 148 (2002) 323–339. This expansion contains a complementary error function of an argument measuring transition across the point z = a, with easily computable coefficients that do not involve a removable singularity in the neighbourhood of thi...
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Abstract. Using a variational approach, two new series representations for the incomplete Gamma function are derived: the first is an asymptotic series, which contains and improves over the standard asymptotic expansion; the second is a uniformly convergent series, completely analytical, which can be used to obtain arbitrarily accurate estimates of Γ(a, x) for any value of a or x. Applications ...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 1979
ISSN: 0036-1410,1095-7154
DOI: 10.1137/0510071