Kragujevac J. Math. 24 (2002) 123-133.
Miloje Rajovica and Dragan Dimitrovskib
aUniversity of Kragujevac, Faculty of Mechanical
Engineering in Kraljevo,
36000 Kraljevo, Yugoslavia
bUniversity of Skopje, Faculty of Natural Sciences and Mathematics, Institute of Mathematics,
91000 Skopje, Macedonia
(Received March 4, 2002)
Abstract. The method of differentiation and the Clairaut and Lagrange equations have not been considered for areolar equations, and thus the same is with the theory of singular integrals and singular points. A reason for this is that the areolar derivative ¶W / ¶z has not arithmetic properties of the usual quotient df(z) / dz for analytic functions. In this paper we will try to solve equations with singular integrals for areolar equations and to begin qualitative and geometric theory.