Continued-fraction characterization of Stieltjes moment sequences with support in $[ξ, \infty)$

Fuente: arXiv
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Auteurs principaux: Sokal, Alan D., Walrad, James
Format: Preprint
Publié: 2024
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author Sokal, Alan D.
Walrad, James
author_facet Sokal, Alan D.
Walrad, James
contents We give a continued-fraction characterization of Stieltjes moment sequences for which there exists a representing measure with support in $[ξ, \infty)$. The proof is elementary.
format Preprint
id arxiv_https___arxiv_org_abs_2404_12131
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Continued-fraction characterization of Stieltjes moment sequences with support in $[ξ, \infty)$
Sokal, Alan D.
Walrad, James
Classical Analysis and ODEs
Combinatorics
Complex Variables
44A60 (Primary), 05A15, 30B70, 30E05 (Secondary)
We give a continued-fraction characterization of Stieltjes moment sequences for which there exists a representing measure with support in $[ξ, \infty)$. The proof is elementary.
title Continued-fraction characterization of Stieltjes moment sequences with support in $[ξ, \infty)$
topic Classical Analysis and ODEs
Combinatorics
Complex Variables
44A60 (Primary), 05A15, 30B70, 30E05 (Secondary)
url https://arxiv.org/abs/2404.12131