Approximation formulas related to Somos' quadratic recurrence constant.

J Inequal Appl

School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo, China.

Published: September 2018

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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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC6182417PMC
http://dx.doi.org/10.1186/s13660-018-1859-8DOI Listing

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