Error bounds for a uniform asymptotic expansion of the Legendre function $P_n^{-m}({\rm cosh}\ z)$
نویسندگان
چکیده
منابع مشابه
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: Quarterly of Applied Mathematics
سال: 1988
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/963583