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Some preserving properties of the Alexander integral operator

Acu Mugur, Blezu Dorin

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

2004

z. 27 [212]

5-9

In this paper we show that the Alexander integral operator I : A approaches A, f(z) = IF(z) = integral of, between limits z and 0 F(t)/t dt preserve the so called Magda§-Ruscheweyh uniform convex functions.

The univalence of integral operator

Blezu Dorin, Raducanu Dorina

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

2002

z. 26 [199]

45-50

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. Thus we use another univalence criterion which is based of the well-known Becker's criterion but it does't depend of \z\. For this reason these are easily used for practical applications.