Exact lower and upper bounds on the incomplete gamma function
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Publication:5140279
DOI10.7153/mia-2020-23-95zbMath1456.33002arXiv2005.06384OpenAlexW3095797287MaRDI QIDQ5140279
Publication date: 15 December 2020
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.06384
Inequalities for sums, series and integrals (26D15) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20) Inequalities involving other types of functions (26D07)
Related Items (6)
Perturbed Fourier uniqueness and interpolation results in higher dimensions ⋮ Monotonicity properties of the gamma family of distributions ⋮ Some new inequalities for beta distributions ⋮ Higher order Turán inequalities for the distinct partition function ⋮ Bounds for the (45d,;d)-extended Beta function and certain consequences ⋮ Fractional partitions and conjectures of Chern–Fu–Tang and Heim–Neuhauser
Cites Work
- Inequalities and bounds for the incomplete gamma function
- Functional inequalities for the incomplete gamma function
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- Supplements to known monotonicity results and inequalities for the gamma and incomplete gamma functions
- An algorithm for the evaluation of the incomplete gamma function
- On some inequalities for the incomplete gamma function
- Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function
- Uniform bounds for the complementary incomplete Gamma function
- The Asymptotic Expansion of the Incomplete Gamma Functions
- Inequalities for the Incomplete Gamma and Related Functions
- Monotonicity results and inequalities for the gamma and incomplete gamma functions
- Inequalities for the incomplete gamma function
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