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and many of the properties of the confluent hypergeometric function are limiting cases of properties of the hypergeometric function.
Since Kummer's equation is second order there must be another, independent, solution. The [[indicial equation]] of the method of Frobenius tells us that the lowest power of a [[power series]] solution to the Kummer equation is either 0 or {{math|1 − ''b''}}. If we let {{math|''w''(''z'')}} be
:<math>w(z)=z^{1-b}v(z)</math>
then the differential equation gives
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