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An Inequality for Gamma Functions

Published online by Cambridge University Press:  20 November 2018

D. G. Kabe
D. G. Kabe*
Affiliation:
St. Mary′s University and Dalhousie University, Haliftx, N.S., CanadaB3H 3C3
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By using Bellman-Wishart distribution, Bellman [1], an inequality for gamma functions is derived. This inequality generalizes a recent inequality given by Selliah [4].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 2 , 01 June 1978 , pp. 243 - 246
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Bellman, R., A generalization of some integral identities due to Ingham and Siegel, Duke Math. J. 23 (1956), 571-577.Google Scholar
2. Morris L. Eaton, A maximization problem and its applications to canonical correlations, J. Multi. Anal. 6 (1976), 422-425.Google Scholar
3. Ingram Olkin, A class of integral identities with matrix argument, Duke Math. J. 26 (1959), 207-213.Google Scholar
4. Selliah, J. B., An inequality satisfied by the gamma function, Canad. Math. Bull. 19 (1976), 85-87.Google Scholar