Zhang Bo, Chen Chao-Ping
School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo, China.
J Inequal Appl. 2018;2018(1):266. doi: 10.1186/s13660-018-1859-8. Epub 2018 Sep 27.
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.
我们给出了与索莫斯二次递归常数相关的两类渐近展开式,并利用贝尔多项式和其他技术提供了确定每类渐近展开式系数的递归关系。我们还给出了与索莫斯二次递归常数相关的连分数近似。