Integral operator which preserves the univalence in the upper half-plane

• Autorzy: Blezu D. , Pascu N. N. , Pascu R. N.
• Języki publikacji: EN

Abstrakty

EN

In this paper, using the Pfaltzgraff integral operator and the so called "parametric circles method" introduced by N. N.Pascu (1999), we can obtain an univalence criterion for the analytic function denned in the upper half-plane and also for comparison two univalence criteria obtained by a simple composition of functions.

Słowa kluczowe

EN

integral operator; upper half-plane; univalent funtions

PL

funkcje univalentne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2003
• Tom: Vol. 36, nr 1
• Strony: 77--81
• Opis fizyczny: Bibliogr. 2 poz.

Twórcy

autor

Blezu D.

• Department of Mathematics, "Lucian Blaga" University, Str. Panait Cerna 10, 2400 Sibiu, Romania

autor

Pascu N. N.

• Department of Mathematics, "Transilvania" University of Braşov, Str. Iuliu Maniu 50, 2200 Braşov, Romania

autor

Pascu R. N.

• Department of Mathematics, "Transilvania" University of Braşov, Str. Iuliu Maniu 50, 2200 Braşov, Romania

Bibliografia

• [Pf] I. Pfaltzgraff, Univalence of the integral (f'(z))c, Bull. London Math. Soc. 7 (1975), No. 3, 254-256.
• [Pas] N. N. Pascu, Univalent functions in a half-plane, International Conference on Complex Analysis and Related Topics, The VIII-th Romanian-Finnish Seminar, Iassy, Romania, 1999.