From Monotonicity of a Class of Bessel Distribution Functions to new Bounds for Related Functionals
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Authors: D. JANKOV MAšIREVIć AND T. K. POGáNY
DOI: 10.46793/KgJMat2602.255M
Abstract:
In this note we prove a monotonicity result with respect to the parameter ν of the cumulative distribution function for the McKay Iν Bessel distribution and uniform upper bounds for a bilinear expression containing modified Bessel function of the first kind Iν. Certain implications, among others with the Horn function Φ2 and for the Gaussian hypergeometric function close the exposition.
Keywords:
Modified Bessel function of the first kind, McKay Iν Bessel distribution, Horn function Φ2, Moments, Gaussian hypergeometric function 2F1, Turán inequality.
References:
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