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
Descripción
Sumario: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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