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GJMA Global Journal of Mathematical Analysis E-ISSN 2307-9002

Some gamma function inequalities occurring in probability theory

Abstract

By utilizing some basic analytical techniques, the authors establish some new Gamma function inequalities occurring in the study of Probability Theory.

Authors and Affiliations

  • Kwara Nantomah University for Development Studies, Navrongo Campus.

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Keywords

  • Gamma function
  • Completely monotonic function
  • Inequality.

References

[1] CP. Chen and F. Qi, Logarithmically completely monotonic functions relating to the gamma function, J. Math. Anal. Appl, 321 (2006), 405-411.

[2] C. H. Kimberling, A Probabilistic Interpretation of Complete Monotonicity, Aequationes Math., 10 (1974), 152-164.

[3] 65th William Lowell Putnam Mathematical Competition: December 4, 2004, Available online at: http://kskedlaya.org/putnam-archive/2004.pdf, (Date Accessed: 01st Dec, 2014).

[4] V. Krasniqi, T. Mansour and A. Sh. Shabani, Some monotonicity properties and inequalities for and functions, Mathematical Communications, 15(2) (2010), 365-376.

[5] M. Merkle, Completely Monotone Functions: A Digest, Analytic Number Theory, Approximation Theory, and Special Functions, (2014), 347-364.

[6] F. Qi and QM Luo, Complete monotonicity of a function involving the gamma function and applications, Periodica Mathematica Hungarica, 69(2) (2014), 159-169.


How to Cite

Nantomah, K. (2015). Some gamma function inequalities occurring in probability theory. Global Journal of Mathematical Analysis, 3(2), 49-53. https://doi.org/10.14419/gjma.v3i2.4319