On a problem of infinite divisibility
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 33, Tome 515 (2022), pp. 156-161
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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.
@article{ZNSL_2022_515_a9,
author = {L. B. Klebanov},
title = {On a problem of infinite divisibility},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {156--161},
year = {2022},
volume = {515},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_515_a9/}
}
L. B. Klebanov. On a problem of infinite divisibility. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 33, Tome 515 (2022), pp. 156-161. http://geodesic.mathdoc.fr/item/ZNSL_2022_515_a9/
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