An Improved Singularity Free Self-Similar Model of Proton Structure Function

In this paper we make re-analysis of a self-similarity based model of the proton structure function pursued in recent years. The additional assumption is that it should be singularity free in the entire kinematic range of x:0 x 1. We also suggest a plausible singularity free form of the model, which has a wider phenomenological range of validity in Q~2 than the earlier ones.