A uniform asymptotic expansion for the incomplete gamma functions revisited
نویسنده
چکیده
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 this point. In this note we correct a misprint in the listing of certain coefficients in this expansion and discuss in more detail the situation corresponding to Γ(a, a). Mathematics Subject Classification: 30E15, 33B20, 34E05, 41A30, 41A60
منابع مشابه
Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
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