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We solve a unified integral equation to obtain the $x, Q_T$ and $Q$dependence of the gluon distribution of a proton in the small $x$ regime; where$x$ and $Q_T$ are the longitudinal momentum fraction and the transversemomentum of the gluon probed at a scale $Q$. The equation generates a gluonwith a steep $x^{- \lambda}$ behaviour, with $\lambda \sim 0.5$, and a $Q_T$distribution which broadens as $x$ decreases. We compare our solutions with, onthe one hand, those that we obtain using the double-leading-logarithmapproximation to Altarelli-Parisi evolution and, on the other hand, to thosethat we determine from the BFKL equation.Comment: LaTeX file with 10 postscript figures (uuencoded

Gluon distribution at smallxobtained from a unified evolution equation