"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science

Geometric function theory
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
MT030
8
2+2+0
7.5
optional
Matematică
MT030
8
2+2+0
7.5
optional
Matematică-Informatică
Teaching Staff in Charge
Assoc.Prof. CURT Claudia Paula, Ph.D., paula@math.ubbcluj.ro
Prof. SALAGEAN Grigore Stefan, Ph.D., salagean@math.ubbcluj.ro
Aims
The presentation of principal classes of univalent functions defined by remarcable geometric properties and some of their applications in the theory of conformal mappings.
Content
The most important properties of univalent functions and the principal classes of univalent functions defined by remarcable geometric properties are presented: the classes S, sigma, tha class of functions of positive real part, starlike functions, convex functions, alfa convex functions.
References
1. P.L. Duren, Univalent functions, Springer Verlag, Berlin Heidelberg, 1994.
2. G.M. Goluzin, Geometric theory of functions of a complex variable, Transl. Math. Mon., Amer. Math. Soc., 1969.
3. A.W. Goodman, Univalent functions, Mariner Publishing Company.
4. P. T. Mocanu, T. Bulboaca, G. St. Salagean, Teoria geometrica a functiilor univalente,
Casa Cartii de Stiinta, 1999.
Assessment
Exam.