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Bessel Equation |
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Bessel equation [′bes·əl i′kwā·zhən]
(mathematics) The differential equationz2ƒ″(z) +zƒ′(z) + (z2-n2)ƒ(z) = 0. Bessel Equation a linear differential equation of the second order of the form x2y” + xy’ + (x2 - p2)y = 0 where the parameter (“index”) p can take on arbitrary (complex) values. The equation is named for F. Bessel. Numerous physics problems reduce to this equation. The solutions of the Bessel equation are called cylinder functions. P. I. LIZORKIN Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content. |
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