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arxiv: 1701.02978 · v1 · pith:EDSQZR4Enew · submitted 2017-01-11 · 🧮 math.CA

Inequalities for the modified Bessel function of the second kind and the kernel of the Kr\"{a}tzel integral transformation

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keywords functioninequalitiesbesselintegralkernelkindmodifiedsecond
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We obtain new inequalities for the modified Bessel function of the second kind $K_\nu$ in terms of the gamma function. These bounds follow as special cases of inequalities that we derive for the kernel of the Kr\"{a}tzel integral transformation.

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