Legendre equation

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Legendre equation

[lə′zhän·drə i‚kwā·zhən]
(mathematics)
The second-order linear homogeneous differential equation (1 -x 2) y ″ - 2 xy ′ + v (v + 1) y = 0, where v is real and nonnegative.
References in periodicals archive ?
The general equation for potentials of an electric field in the presence of near-surface heterogeneity in the form of a sphere can be traced to Legendre's equation [8] and its solution is as following: