Abstract
In this paper we show that if {Mathematical expression}, is a smooth bounded pseudoconvex circular domain with real analytic defining function r(z) such that {Mathematical expression} for all z near the boundary, then the solution u to the {Mathematical expression}-Neumann problem, {Mathematical expression} is real analytic up to the boundary, if the given form f is real analytic up to the boundary. In particular, if {Mathematical expression}, is a smooth bounded complete Reinhardt pseudoconvex domain with real analytic boundary. Then {rectangle open, horizontal} is analytic hypoelliptic. © 1988 Springer-Verlag.