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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

Uniform asymptotic expansions of the incomplete gamma functions and the incomplete beta function


Author: N. M. Temme
Journal: Math. Comp. 29 (1975), 1109-1114
MSC: Primary 33A15
MathSciNet review: 0387674
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Abstract: New asymptotic expansions are derived for the incomplete gamma functions and the incomplete beta function. In each case the expansion contains the complementary error function and an asymptotic series. The expansions are uniformly valid with respect to certain domains of the parameters.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1975-0387674-2
PII: S 0025-5718(1975)0387674-2
Keywords: Incomplete gamma function, incomplete beta function, asymptotic expansion, error function
Article copyright: © Copyright 1975 American Mathematical Society