Sharp upper and lower bounds for the gamma function

@article{Alzer2009SharpUA,
  title={Sharp upper and lower bounds for the gamma function},
  author={H. Alzer},
  journal={Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences},
  year={2009},
  volume={139},
  pages={709-718}
}
  • H. Alzer
  • Published 2009
  • Physics
  • Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences
  • We prove that for all x > 0, we have with the best possible constants α = 0 and . 
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    References

    SHOWING 1-6 OF 6 REFERENCES
    On some inequalities for the gamma and psi functions
    • H. Alzer
    • Computer Science, Mathematics
    • Math. Comput.
    • 1997
    • 344
    • PDF
    Sharp bounds for the Bernoulli numbers
    • 24
    Concerning Two Series for the Gamma Function
    • 45
    • PDF