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://dx.doi.org/10.1186/s13660-018-1859-8 | DOI Listing |
J Inequal Appl
September 2018
School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo, China.
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.
View Article and Find Full Text PDFJ Inequal Appl
June 2018
School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, China.
In this paper, we give asymptotic expansions and inequalities related to the generalized Somos quadratic recurrence constant, using its relation with the generalized Euler constant.
View Article and Find Full Text PDFChemphyschem
January 2014
Department of Chemistry, Georgetown University, 37th & O Streets, NW, Washington, DC 20057-1227 (USA).
The π-bonded tetracyanoethylene anion dimer (TCNE2(2-)) and the neutral K2TCNE2 system have been investigated to obtain new insights into the unique features of two-electron multicenter (2e-mc) π-pancake bonding. The inter-radical interaction leads to a significant diradicaloid character described by two singly occupied molecular orbitals (SOMOs) of the monomers. A highly correlated approach, the multireference averaged quadratic coupled-cluster (MR-AQCC) method, has been used to achieve a balanced description of the different types of electron correlation that occur in this system.
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