We present the first global analysis of generalized parton distributions (GPDs) combing lattice quantum chromodynamics (QCD) calculations and experiment measurements including distribution functions (PDFs), form factors (FFs) deeply virtual Compton scattering (DVCS) measurements. Following previous work where we parameterize GPDs in terms their moments, extend framework to allow for at non-zero...

In this paper, we develop a generalized moment method with continuous weight function for the Smoluchowski coagulation equation in its form to study mass conservation property of equation. We first establish some basic inequalities and prove under sufficient condition on kernel an initial condition, utilizing these inequalities. Additionally, provide concrete examples kernels that exhibit prope...

Using increasing sequences of real numbers, we generalize the idea formal moment differentiation first introduced by W. Balser and M. Yoshino. Slight departure from concept Gevrey enables us to include a wide variety operators in our study. Basing approach on tools such as Newton polygon divergent norms, obtain estimates for solutions certain families generalized linear partial differential equ...