Incomplete Laplace Integrals: Uniform Asymptotic Expansion with Application to the Incomplete Beta Function

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Uniform Asymptotic Expansion for the Incomplete Beta Function

In [Temme N.M., Special functions. An introduction to the classical functions of mathematical physics, A Wiley-Interscience Publication, John Wiley & Sons, Inc., New York, 1996, Section 11.3.3.1] a uniform asymptotic expansion for the incomplete beta function was derived. It was not obvious from those results that the expansion is actually an asymptotic expansion. We derive a remainder estimate...

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ژورنال

عنوان ژورنال: SIAM Journal on Mathematical Analysis

سال: 1987

ISSN: 0036-1410,1095-7154

DOI: 10.1137/0518118