A function Class of strictly positive definite and logarithmically completely monotonic functions related to the modified Bessel functions

preprint2012arXivOpen access

Abstract

In this paper we give some conditions for a class of functions related to Bessel functions to be positive definite or strictly positive definite . We present some properties and relationships involving logarithmically completely monotonic functions and strictly positive definite functions. In particular, we are interested with the modified Bessel functions.

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