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Some new properties of the Barnes G-function and related results

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In this paper, we present several potentially useful properties of the Barnes G-function. The properties considered here include, for example, its integral representation, complete monotonicity, and continued-fraction approximation. We also… Click to show full abstract

In this paper, we present several potentially useful properties of the Barnes G-function. The properties considered here include, for example, its integral representation, complete monotonicity, and continued-fraction approximation. We also derive continued-fraction approximations of the Glaisher-Kinkelin constant and the Choi-Srivastava constants.

Keywords: related results; new properties; barnes function; properties barnes; function related

Journal Title: Applicable Analysis and Discrete Mathematics
Year Published: 2020

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