Approximation formulas related to Somos’ quadratic recurrence constant

We present two classes of asymptotic expansions related to Somos’ quadratic recurrence constant and provide the recursive relations for determining the coefficients of each class of the asymptotic expansions by using Bell polynomials and other techniques. We also present continued fraction approxima...

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Detalles Bibliográficos
Autores principales: Zhang, Bo, Chen, Chao-Ping
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6182417/
https://www.ncbi.nlm.nih.gov/pubmed/30363840
http://dx.doi.org/10.1186/s13660-018-1859-8
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author Zhang, Bo
Chen, Chao-Ping
author_facet Zhang, Bo
Chen, Chao-Ping
author_sort Zhang, Bo
collection PubMed
description We present two classes of asymptotic expansions related to Somos’ quadratic recurrence constant and provide the recursive relations for determining the coefficients of each class of the asymptotic expansions by using Bell polynomials and other techniques. We also present continued fraction approximations related to Somos’ quadratic recurrence constant.
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spelling pubmed-61824172018-10-22 Approximation formulas related to Somos’ quadratic recurrence constant Zhang, Bo Chen, Chao-Ping J Inequal Appl Research We present two classes of asymptotic expansions related to Somos’ quadratic recurrence constant and provide the recursive relations for determining the coefficients of each class of the asymptotic expansions by using Bell polynomials and other techniques. We also present continued fraction approximations related to Somos’ quadratic recurrence constant. Springer International Publishing 2018-09-27 2018 /pmc/articles/PMC6182417/ /pubmed/30363840 http://dx.doi.org/10.1186/s13660-018-1859-8 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Zhang, Bo
Chen, Chao-Ping
Approximation formulas related to Somos’ quadratic recurrence constant
title Approximation formulas related to Somos’ quadratic recurrence constant
title_full Approximation formulas related to Somos’ quadratic recurrence constant
title_fullStr Approximation formulas related to Somos’ quadratic recurrence constant
title_full_unstemmed Approximation formulas related to Somos’ quadratic recurrence constant
title_short Approximation formulas related to Somos’ quadratic recurrence constant
title_sort approximation formulas related to somos’ quadratic recurrence constant
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6182417/
https://www.ncbi.nlm.nih.gov/pubmed/30363840
http://dx.doi.org/10.1186/s13660-018-1859-8
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