Computing the Barnes \(G\)-function and the gamma function in the entire complex plane

DOI10.1016/j.cam.2022.114270OpenAlexW4220892538WikidataQ113878731 ScholiaQ113878731MaRDI QIDQ2141578

Yanyan Li

Publication date: 25 May 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.12061

zbMATH Keywords

Laplace transformgamma functionPade approximationBarnes \(G\)-function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Approximation in the complex plane (30E10) Other functions coming from differential, difference and integral equations (33E30) Numerical approximation and evaluation of special functions (33F05)

Related Items (1)

On the Barnes double gamma function

Cites Work

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• On extrema of stable processes
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• The dilogarithm function for complex argument
• Determinants of Laplacians and Multiple Gamma Functions
• Error bounds and exponential improvement for the asymptotic expansion of the Barnes G -function
• A Precision Approximation of the Gamma Function
• Chebyshev Approximation by Exponentials
• Approximation of 1/x by exponential sums in [1, ∞)
• Random matrix theory and \(\zeta(1/2+it)\).
• An asymptotic expansion of the double gamma function

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