“…The main properties of such functions are studied, an integral representation of q = x k -analytic functions is obtained, and an inversion formula is constructed. Somewhat later G. Polozhii generalized the concept of a p-analytic function and introduced (p, q)-analytic functions defined by the system of equations pu x + qu y ´vy = 0, ´qu x + pu y + v x = 0, where p and q are some given functions of x, y, and p(x, y) ą 0 [18,19]. Moreover, (p, q)-analytic functions can be defined in another way.…”