The Clairaut and Lagrange areolar equation
Kragujevac Journal of Mathematics, Tome 24 (2002) no. 1
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Kragujevac J. Math. 24 (2002) 123-133.
THE CLAIRAUT AND LAGRANGE AREOLAR EQUATION 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.
@article{KJM_2002_24_1_a12,
author = {Miloje Rajovi\'c and Dragan Dimitrovski},
title = {The {Clairaut} and {Lagrange} areolar equation},
journal = {Kragujevac Journal of Mathematics},
pages = {123 - 133},
publisher = {mathdoc},
volume = {24},
number = {1},
year = {2002},
url = {http://geodesic.mathdoc.fr/item/KJM_2002_24_1_a12/}
}
Miloje Rajović; Dragan Dimitrovski. The Clairaut and Lagrange areolar equation. Kragujevac Journal of Mathematics, Tome 24 (2002) no. 1. http://geodesic.mathdoc.fr/item/KJM_2002_24_1_a12/