Affiliation:
1. School of Chemical and Physical Sciences, Victoria University of Wellington, New Zealand
Abstract
Summary
Four distinct solutions exist for the potential distribution around two equal circular parallel conducting cylinders, charged to the same potential. Their equivalence is demonstrated, and the resulting analytical identities are discussed. The identities relate the Jacobi elliptic function $sn$, the Jacobi theta functions $\theta _1 ,~\theta _2 $ and infinite series over trigonometric and hyperbolic functions.
Publisher
Oxford University Press (OUP)
Subject
Applied Mathematics,Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
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