In mathematics, the method of Frobenius, named after Ferdinand Georg Frobenius, is a way to find an infinite series solution for a linear second-order ordinary differential equation of the form z 2 u ″ + p ( z ) z u ′ + q ( z ) u = 0 {\displaystyle z^{2}u''+p(z)zu'+q(z)u=0} with u ′ ≡ d u d z {\textstyle u'\equiv {\frac {du}{dz}}} and u ″ ≡ d 2 u d z 2 {\textstyle u''\equiv {\frac {d^{2}u}{dz^{2}}}} . in the vicinity of the regular singular point z = 0 {\displaystyle z=0} .
In mathematics, the method of Frobenius, named after Ferdinand Georg Frobenius, is a way to find an infinite series solution for a linear second-order ordinary differential equation of the form z 2 u ″ + p ( z ) z u ′ + q ( z ) u = 0 {\displaystyle z^{2}u''+p(z)zu'+q(z)u=0} with u ′ ≡ d u d z {\textstyle u'\equiv {\frac {du}{dz}}} and u ″ ≡ d 2 u d z 2 {\textstyle u''\equiv {\frac {d^{2}u}{dz^{2}}}} . in the vicinity of the regular singular point z = 0 {\displaystyle z=0} .
Source: Wikipedia "Frobenius method" · CC BY-SA 4.0
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