Authors
Roger W Barnard, Michael B Gordy, Kendall C Richards
Publication date
2009/1/1
Journal
Journal of Mathematical Analysis and Applications
Volume
349
Issue
1
Pages
259-263
Publisher
Academic Press
Description
Turán-type inequalities for combinations of Kummer functions involving Φ(a±ν,c±ν,x) and Φ(a,c±ν,x) have been recently investigated in [Á. Baricz, Functional inequalities involving Bessel and modified Bessel functions of the first kind, Expo. Math. 26 (3) (2008) 279–293; M.E.H. Ismail, A. Laforgia, Monotonicity properties of determinants of special functions, Constr. Approx. 26 (2007) 1–9]. In the current paper, we resolve the corresponding Turán-type and closely related mean inequalities for the additional case involving Φ(a±ν,c,x). The application to modeling credit risk is also summarized.
Total citations
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Scholar articles
RW Barnard, MB Gordy, KC Richards - Journal of Mathematical Analysis and Applications, 2009