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A next-to-leading order QCD calculation of nonsinglet spin structure function g 1 N S ( x , t ) at small x is presented using the analytical methods: Lagrange’s method and method of characteristics. The compatibility of these analytical approaches is tested by comparing the analytical solutions with the available polarized global fits.

An Analytical Study of the Nonsinglet Spin Structure Function g 1 N S ( x , t ) Up to NLO in the DGLAP Approach at Small x