An analytic solution to LO coupled DGLAP evolution equations for F2^γp(x,Q^2) and G(x,Q^2)

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We have analytically solved the leading-order Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) equations for the Q^2 evolution of the structure function F2^γp(x,Q^2) and the gluon distribution G(x,Q^2) using very efficient Laplace transform techniques. Employing the initial distributions F2^γp(x,Q0^2) and G(x,Q0^2) fixed by a global fit to the HERA combined data on deep inelastic ep scattering and the very small non-singlet MSTW2008LO distributions at the initial energy Q0^2, we have calculated the evolved proton structure function F2^γp(x,Q^2) and compared our results with the HERA combined data.

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