21 citations · 35 across the 3 of their papers we have counts for
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math-ph2020
Definition and properties of logopoles of all degrees and orders
Matt Majic, Eric C. Le Ru
Logopoles are a recently proposed class of solutions to Laplace's equation with intriguing links to both solid spheroidal and solid spherical harmonics. They share the same finite…
math-ph2019
A new class of solutions to Laplace equation: Regularized multipoles of negative orders
Matt Majic, Eric C. Le Ru
We introduce a new class of solutions to Laplace equation, dubbed logopoles, and use them to derive a new relation between solutions in prolate spheroidal and spherical coordinates…
math-ph2018
Relationships between solid spherical and toroidal harmonics
Matt Majic, Eric C. Le Ru
We derive new relationships expressing solid spherical harmonics as series of toroidal harmonics and vice versa. The expansions include regular and irregular spherical harmonics, r…