Interpolation by Rational $Γ_{E(3; 3; 1, 1, 1)}$-Inner Function and Rational $Γ_{E(3; 2; 1, 2)}$-Inner Function

We study several function-theoretic aspects of the domains $G_{E(3;3;1,1,1)}$ and $G_{E(3;2;1,2)}$. We introduce and investigate the notions of $Γ_{E(3;3;1,1,1)}$-inner functions and $Γ_{E(3;2;1,2)}$-inner functions, and establish their relationships with $Γ_{E(2;2;1,1)}$-inner functions and $Γ_{E(2