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Functions and Analysis

   

Recurrence for the Atkinson-Steenwijk Integrals for Resistors in the Infinite Triangular Lattice

Authors: Richard J. Mathar

The integrals R_{n,n}$ obtained by Atkinson and van Steenwijkfor the resistance between points of an infinite set ofunit resistors on the triangular latticeobey P-finite recurrences. The main causeof these are similarities uncovered by partial integrations of theirintegral representations with algebraic kernels. All R_{n,p} resistancesto points with integer coordinates n and p relative to an originin the lattice can be derived recursively.

Comments: 8 Pages.

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Submission history

[v1] 2022-08-19 17:21:48

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