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Frobenius method

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 z2u″+p(z)zu′+q(z)u=0{\displaystyle z^{2}u''+p(z)zu'+q(z)u=0} with u′≡dudz{\textstyle u'\equiv {\frac {du}{dz}}} and u″≡d2udz2{\textstyle u''\equiv {\frac {d^{2}u}{dz^{2}}}}.

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