Riemann Boundary Value Problem on Non‐Rectifiable Curves for Null‐Solutions of Iterated and Meta Class of Certain Type of Beltrami Equation

ABSTRACT In this paper, we generalize the class of jump curves of the classical Riemann boundary value problem to the class of ‐summable Jordan closed curves, and the function class of the classical Riemann boundary value problem to the poly‐‐analytic and meta‐‐analytic function classes, respectively. By applying the method for solving Riemann boundary value problem for ‐analytic functions on ‐summable curves, we derive the solvability conditions and explicit solutions for the identical‐factor Riemann boundary value problem of poly‐‐analytic and meta‐‐analytic functions defined on ‐summable Jordan closed curves.