: Mathématiques: cylindrical harmonic

mathematical physics > special function > cylindrical harmonic

mathematical analysis > functional analysis > special function > cylindrical harmonic

cylindrical harmonic

In mathematics, the cylindrical harmonics are a set of linearly independent functions that are solutions to Laplace's differential equation, ${\\displaystyle \ abla ^{2}V=0}$ , expressed in cylindrical coordinates, ρ (radial coordinate), φ (polar angle), and z (height). Each function V_n(k) is the product of three terms, each depending on one coordinate alone. The ρ-dependent term is given by Bessel functions (which occasionally are also called cylindrical harmonics).
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Cylindrical_harmonics)

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