On some inequalities for the gamma and psi functions

@article{Alzer1997OnSI,
  title={On some inequalities for the gamma and psi functions},
  author={H. Alzer},
  journal={Math. Comput.},
  year={1997},
  volume={66},
  pages={373-389}
}
  • H. Alzer
  • Published 1997
  • Computer Science, Mathematics
  • Math. Comput.
    • We present new inequalities for the gamma and psi functions, and we provide new classes of completely monotonic, star-shaped, and superadditive functions which are related to Γ and?. 
    View PDF
    344 Citations
    Highly Influential Citations
    31
    Background Citations
    80
    Methods Citations
    18
    Results Citations
    5

    Topics from this paper

    Explore Further: Topics Discussed in This Paper

    344 Citations
    Citation Type

    Citation Type

    Some inequalities and monotonicity properties associated with the gamma and psi functions
    • 9
    Complete monotonicity results for some functions involving the gamma and polygamma functions
    • 20
    Inequalities for the gamma and q-gamma functions
    • 54
    Inequalities for Гp function and Gamma function
    Inequalities for the gamma function
    • 94
    • PDF
    Some Monotonicity Properties of the q-Gamma Function
    • 1
    • PDF
    On some properties of the gamma function
    • 18
    Sharp inequalities for the psi function and harmonic numbers
    • 28
    • PDF
    Inequalities for Euler's gamma function
    • 8
    Complete Monotonicity and Inequalities of Functions Involving $\Gamma$-function
    • PDF

    References

    SHOWING 1-10 OF 59 REFERENCES
    On an inequality for gamma functions
    • 6
    An inequality satisfied by the gamma function
    • 8
    Completely monotonic functions associated with the gamma function and its q-analogues
    • 95
    INEQUALITIES FOR ZERO-BALANCED HYPERGEOMETRIC FUNCTIONS
    • 127
    • PDF
    An inequality satisfied by the Gamma function
    • 37
    A Harmonic Mean Inequality for the Gamma Function
    • 22
    Superadditive functions and a statistical application
    • 44
    Further inequalities for the gamma function
    • 57
    • PDF
    The gamma function inequalities of Gurland and Gautschi
    • 27
    Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
    • 17,952