Uniform convergent expansions of the Gauss hypergeometric function in terms of elementary functions
نویسندگان
چکیده
منابع مشابه
New series expansions of the Gauss hypergeometric function
The Gauss hypergeometric function 2F1(a, b, c; z) can be computed by using the power series in powers of z, z/(z − 1), 1 − z, 1/z, 1/(1 − z), (z − 1)/z. With these expansions 2F1(a, b, c; z) is not completely computable for all complex values of z. As pointed out in Gil, et al. [2007, §2.3], the points z = e±iπ/3 are always excluded from the domains of convergence of these expansions. Bühring [...
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ژورنال
عنوان ژورنال: Integral Transforms and Special Functions
سال: 2018
ISSN: 1065-2469,1476-8291
DOI: 10.1080/10652469.2018.1525369