Extraction of Structure Function and Gluon Distribution Function at Low-x from Cross Section Derivative by Regge Behavior

An approximation method based on Regge behavior is presented.This new method relates the reducedcross section derivative and the structure function Regge behavior at low x.With the use of this approximation method,the C and λ parameters arc calculated from the HERA reduced cross section data taken at low-x.Also,we calculate thestructure functions F(x,Q~2)even for low-x values,which have not been investigated.To test the validity of calculatedstructure functions,we find the gluon distribution function in the Leading order approximation based on Regge behaviourof structure function and compare to the NLO QCD fit to H1 data and NLO parton distribution function.