共 50 条
Zhang-Zhang Polynomials of Multiple Zigzag Chains
被引：0
|作者：
Langner, Johanna
[1
,2
]
Witek, Henryk A.
[1
,2
]
Mos, Grzegorz
[3
]
机构：
[1] Natl Chiao Tung Univ, Dept Appl Chem, Hsinchu, Taiwan
[2] Natl Chiao Tung Univ, Inst Mol Sci, Hsinchu, Taiwan
[3] Silesian Univ, Dept Math, Katowice, Poland
关键词：
CLOSED-FORM FORMULAS;
HEXAGONAL SYSTEMS;
BENZENOID STRUCTURES;
AROMATIC-HYDROCARBONS;
CYCLO-POLYPHENACENES;
RESONANCE ENERGY;
STRUCTURE COUNTS;
ZZDECOMPOSER;
ALGORITHM;
STRIPS;
D O I：
暂无
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
Generating functions of the Zhang-Zhang polynomials of multiple zigzag chains Z(m, n) and generalized multiple zigzag chains Z(k)(m, n) are derived for arbitrary values of the indices. These generating functions can be expressed in the form of highly regular finite continued fractions, Sigma(infinity)(m=0) ZZ(Z(m, n),z)t(m) = [0; -t,(-1)(2)zt,(-1)(3)zt,&,(-1)(n)zt, 1 + (-1)(n+1) zt], or, in the case of Z(k)(m, n), products of such continued fractions. For the particularly important case of the multiple zigzag chains Z(m, n), the generating functions are expanded to yield a closed form for the Zhang-Zhang polynomials of multiple zigzag chains Z(m, n) that is valid for arbitrary values of m and n.
引用
收藏
页码：245 / 265
页数：21
相关论文