Confluent hypergeometric function: Difference between revisions

Revision as of 21:41, 6 September 2021

Revision as of 03:00, 4 February 2022

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:<math>U(a,b,z) = \frac{1}{\Gamma(a)}\int_0^\infty e^{-zt}t^{a-1}(1+t)^{b-a-1}\,dt, \quad (\operatorname{Re}\ a>0) </math>

The integral defines a solution in the right half-plane {{math|0 < Re ''z'' <> ''π''/20}}.

They can also be represented as [[Barnes integral]]s