# Sharp upper and lower bounds for the gamma function

@article{Alzer2009SharpUA,
title={Sharp upper and lower bounds for the gamma function},
author={Horst Alzer},
journal={Proceedings of the Royal Society of Edinburgh: Section A Mathematics},
year={2009},
volume={139},
pages={709 - 718}
}
• H. Alzer
• Published 8 July 2009
• Mathematics
• Proceedings of the Royal Society of Edinburgh: Section A Mathematics
We prove that for all x > 0, we have with the best possible constants α = 0 and $\beta=\tfrac{1}{1620}$.

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