On the univalence for integral operators

• Autorzy: Blezu D. , Raducanu D.
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to obtain some univalence criteria in connection with integral operators due to E. Cazacu, S. Moldovan and N.N. Pascu. In this sens we use an other univalence criterion which is based on the well-known Decker's criterion but is does't depend on \z\. For this reason these are easy used for practical applications.

Słowa kluczowe

EN

univalent functions; integral operators

PL

funkcje jednolistne; operatory całkowe

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
• Rocznik: 2000
• Tom: z. 24 [181]
• Strony: 15--20
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Blezu D.

autor

Raducanu D.

• Department of Mathematics, Lucian Blaga University Sibiu, Romania

Bibliografia

• [1] F. G. Avhadiev, L. A. Aksetiev. A subordination principle in sufficient conditions for univalence, Dokl. Akad. Nauk SSSR, 211(1973), 19-22.
• [2] J. Becker, Lőwnersche Differentialgleichung und Quasikonform fortsetzbare schlichte Functionen, J. Reine Angen. Math., 255(1972), 23-42.
• [3] D. Blezu, N. N. Pascu, Same univalence criterion, Demonstratio Mathematica (to appear).
• [4] E. Cazacu, S. Moldoveanu, N.N. Pascu, On an integral operator wich preserves the univalence, Bull. Univ. Brasov, Seria C (1988), 7-10.
• [5] S. Moldoveanu, N. N. Pascu, Sufficient condition for univalence of regular Junction in the unit disc, Babes-Bolyai Univ., Fac. of Math., Seminar on Geometrie Function Theory, Preprint 5(1986), 111-114.