Weil Operators and Remainders of Anderson Generating Functions over a Punctured Projective Line

Let $A_ρ$ be the coordinate ring of the projective line over $\Fq$ with a closed point of degree $N$ removed. We give finite formulas for higher Weil operators in a basis of Riemann--Roch spaces, which recover the formulas of Hu--Ou--Yang when $N=1$. We identifythese operators with representatives o