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In this paper we present some Turán type inequalities for the probability density function (pdf) of the non-central chi-squared distribution, non-central chi distribution and Student distribution, respectively. Moreover, we improve a result of Laforgia and Natalini concerning a Turán type inequality for the modified Bessel functions of the second kind.

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Studia Scientiarum Mathematicarum Hungarica
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1966
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2021 Volume 58
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ISSN 0081-6906 (Print)
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