Hyperelliptic values of the Gamma function
@inproceedings{Lugering2021HyperellipticVO, title={Hyperelliptic values of the Gamma function}, author={Jan Lugering}, year={2021} }
We determine new particular values of the Gamma function for specific rational arguments in the interval (0,1). Introducing hyperelliptic generalisations of the trigonometric functions, we obtain a halving formula for specific rational arguments. Then we define a family of functions, which encompasses the exponential function. We present an overlooked integral definition by Gauß and explore a few general formulas for the Gamma function. Finally, we apply the new values of the Gamma function to…
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Particular values of the Gamma function
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