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More precisely, the Anger functions satisfy the equation
:<math>z^2y^{\prime\prime} + zy^\prime +(z^2-\nu^2)y = (z-\nu)\sin(\pi<math></math> ν)/\pi ,</math>
and the Weber functions satisfy the equation
:<math>z^2y^{\prime\prime} + zy^\prime +(z^2-\nu^2)y = -((z+\nu) + (z-\nu)\cos(\pi <math></math>ν))/\pi.</math>
==References==
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