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Approximation formulas related to Somos’ quadratic recurrence constant

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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… Click to show full 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.

Keywords: approximation formulas; quadratic recurrence; related somos; recurrence constant; somos quadratic

Journal Title: Journal of Inequalities and Applications
Year Published: 2018

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