Asymptotic approximation of central binomial coefficients with rigorous error bounds
نویسندگان
چکیده
We show that a well-known asymptotic series for the logarithm of central binomial coefficient is strictly enveloping in sense P\'olya and Szeg\"o, so error incurred truncating same sign as next term, bounded magnitude by term. consider closely related Binet's function, $\ln\Gamma(z+1/2)$, Riemann-Siegel theta make some historical remarks.
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ژورنال
عنوان ژورنال: Open journal of mathematical sciences
سال: 2021
ISSN: ['2523-0212', '2616-4906']
DOI: https://doi.org/10.30538/oms2021.0173