Bessel Equation

Bessel equation

[′bes·əl i′kwā·zhən] (mathematics) The differential equation z ²ƒ″(z) + z ƒ′(z) + (z ²-n ²)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

单词	bessel equation
释义	Bessel Equation Bessel equation [′bes·əl i′kwā·zhən] (mathematics) The differential equation z ²ƒ″(z) + z ƒ′(z) + (z ²-n ²)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
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