An iterative real sequence based on and providing a plane parqueting and harmonic Green functions

2020

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DOI 10.1080/17476933.2020.1816989
Data confidence 70 medium
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Abstract

The real monotone decreasing sequence m1=3,m2=23,(m12−1=2),mk+2=αkmk+1+βkβkmk+1+αk,αk=mkmk+1−1,βk=mk−mk+1,k∈N, 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.