Approximation formulas related to Somos’ quadratic recurrence constant

Approximation formulas related to Somos’ quadratic recurrence constant

Abstract 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...

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Bibliographic Details
Main Authors: Bo Zhang, Chao-Ping Chen
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Journal of Inequalities and Applications
Subjects:
Somos’ quadratic recurrence constant
Asymptotic formula
Bell polynomials
Ordered Bell numbers
Online Access:http://link.springer.com/article/10.1186/s13660-018-1859-8
Description
Summary:Abstract 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.
ISSN:1029-242X

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