We derive the Leading-Order(LO) master equation to extract the polar-ized gluon distribution G(x;Q2) = x±g(x;Q2) from polarized proton structure function,gp 1(x;Q2). By using a Laplace-transform technique, we solve the master equation and de-rive the polarized gluon distribution inside the proton. The test of accuracy which are based on our calculations with two di®erent methods, con¯rms that we achieve to the correct solution for the polarized gluon distribution. We show that accurate experimental
knowledge of gp 1(x;Q2) in a region of Bjorken x and Q2, is all that is needed to deter-mine the polarized gluon distribution in that region. Therefore, to determine the polarized gluon distribution ±g(x;Q2) ,we only need to have accurate experimental data on polarized structure functions, gp 1(x;Q2).
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