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An iterative real sequence based on and providing a plane parqueting and harmonic Green functions
Complex Variables and Elliptic Equations ( IF 0.6 ) Pub Date : 2020-09-21 , DOI: 10.1080/17476933.2020.1816989
Heinrich Begehr 1 , Hanxing Lin 1 , Hua Liu 2 , Bibinur Shupeyeva 3
Affiliation  

The real monotone decreasing sequence m1=3,m2=23,(m121=2),mk+2=αkmk+1+βkβkmk+1+αk,αk=mkmk+11,βk=mkmk+1,kN, converging to 1 is used to construct a parqueting of the complex plane leading to the harmonic Green function and the Poisson kernel for the countably many domains of the parqueting clustering at the point 1.



中文翻译:

基于并提供平面拼花和谐波Green函数的迭代实序列

真正的单调递减序列 1个=32个=2个31个2个-1个=2个ķ+2个=αķķ+1个+βķβķķ+1个+αķαķ=ķķ+1个-1个βķ=ķ-ķ+1个ķñ 收敛到1用于构造复杂平面的拼接,从而导致谐波绿色函数和泊松核用于点1上的拼接网格的许多域。

更新日期:2020-09-21
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