Submitted:
19 December 2021
Posted:
21 December 2021
You are already at the latest version
Abstract
Let $f(t)$ be a characteristic function. The question on infinite divisibility of $g_{2k}(t)=f^{(2k)}(t)/f^{(2k)}(0)$ is considered. There are given the condition for that function not to be infinite divisible. Some examples of infinite divisibility of $g_{2k}(t)$ are given.
Keywords:
characteristic function
; infinite divisibility
; singularities
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