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Title
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A note on Turán type and mean inequalities for the Kummer function
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Description
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10.1016/j.jmaa.2008.08.024
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Creator
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Richards, Kendall C.
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Date
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2018-02-27
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Date Available
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2018-02-27
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Date Issued
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2009
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Identifier
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Barnard, R. W., Gordy, M. B., & Richards, K. C. (January 01, 2009). A note on Turán type and mean inequalities for the Kummer function. Journal of Mathematical Analysis and Applications, 349, 1, 259-263.
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uri
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https://collections.southwestern.edu/s/suscholar/item/238
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Abstract
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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.
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Language
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English
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Publisher
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Journal of Mathematical Analysis and Applications
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Subject
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Kummer confluent hypergeometric function
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Turán-type inequality
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Mean
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Generalized hypergeometric function
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Type
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Article
