Abstract
In 2009~[4,5], S. Gun, M. R. Murty, P. Rath studied transcendental values of the logarithm of the gamma function. They showed that for any rational number $x$ with $0 < x < \frac{1}{2}$, the number $\log \Gamma(x) + \log \Gamma(1-x)$ is transcendental with at most one possible exception. In this paper, we study transcendental values of log double sine function using their method.
Citation
Hidekazu Tanaka. "Transcendence of special values of log double sine function." Proc. Japan Acad. Ser. A Math. Sci. 90 (9) 133 - 134, November 2014. https://doi.org/10.3792/pjaa.90.133
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