Elementary solution of Vecua equation with analytic coefficients on $Z$, $\overline{Z}$

Miloje Rajović; Dragan Dimitrovski; Rade Stojiljković

Elementary solution of Vecua equation with analytic coefficients on $Z$ , $\overset{―}{Z}$

Authors

Miloje Rajović Dept. of Mathematics, Technical Faculty, Kraljevo, Yugoslavia Author
Dragan Dimitrovski Mathematical Institute, Faculty of Sciences, 91000 Skopje, Rep. of Macedonia, P.O.Box 162 Author
Rade Stojiljković High Pedagogical School, Gnjilane, Yugoslavia Author

Keywords:

Vecua equation

Subjects:

34A20, 30D05

Abstract

An explicit solution of Vecua equation with analytic coefficients on $z$ , $\bar{z}$ is given in the form of a series which depends on the coefficients $A$ , $B$ , $F$ of the equation, and an analytic function $Φ (z)$ in the role of an arbitrary integration constant.