Abstract
We prove several results about the Barnes G-function. In particular, we correct an error in one of the known formulas involving \(G(\cdot )\), as well as in some further equations which depend on it. We also study an integral involving the cosecant function, and prove several relations with the G-function and some other special functions. These relations allow us to calculate certain definite integrals which appear to be new.
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The author expresses his gratitude to the referees for their constructive remarks, which helped improve the quality of the paper and eliminate several misprints.
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Markov, L. (2021). Several Results Concerning the Barnes G-function, a Cosecant Integral, and Some Other Special Functions. In: Georgiev, I., Kostadinov, H., Lilkova, E. (eds) Advanced Computing in Industrial Mathematics. BGSIAM 2018. Studies in Computational Intelligence, vol 961. Springer, Cham. https://doi.org/10.1007/978-3-030-71616-5_24
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DOI: https://doi.org/10.1007/978-3-030-71616-5_24
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