Error bounds and exponential improvement for the asymptotic expansion of the Barnes G -function
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Publication:5362314
DOI10.1098/rspa.2014.0534zbMath1371.33008arXiv1406.2535OpenAlexW2130000054MaRDI QIDQ5362314
Publication date: 29 September 2017
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.2535
Gamma, beta and polygamma functions (33B15) Numerical approximation and evaluation of special functions (33F05)
Related Items (7)
Computing the Barnes \(G\)-function and the gamma function in the entire complex plane ⋮ Error bounds for the asymptotic expansion of the Hurwitz zeta function ⋮ The determinant of one-dimensional polyharmonic operators of arbitrary order ⋮ Phase transition in complex-time Loschmidt echo of short and long range spin chain ⋮ More asymptotic expansions for the Barnes \(G\)-function ⋮ Products of binomial coefficients and unreduced Farey fractions ⋮ New approximations for the higher order coefficients in an asymptotic expansion for the Barnes \(G\)-function
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