Some preserving properties of the Alexander integral operator

• Autorzy: Acu Mugur , Blezu Dorin
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Aleksander integral operator; Briot-Bouquet differential subordination; Ruscheweyh operator

PL

operator całkowy Aleksandra; operator Ruscheweyha; podrzędne różniczkowe Briot-Bouquet

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
• Rocznik: 2004
• Tom: z. 27 [212]
• Strony: 5--9
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Acu Mugur

• Department of Mathematics, Lucian Blaga University Sibiu, Romania

autor

Blezu Dorin

• Department of Mathematics, Lucian Blaga University Sibiu, Romania

Bibliografia

• [1] A. W. Goodman, On uniformly convex function, Ann. Polon. Math., LVIII (1991), 86-92.
• [2] L. Madgaş, Doctoral thesis, University “Babeş-Bolyai” Cluj-Napoca 1999.
• [3] S. S. Miller and P. T. Mocanu, Differential subordinations and univalent functions, Mirch. Math. 28(1981), 157-171.
• [4] -, -, Univalent solution of Briot-Bouquet differential equations, J. Differential Equations 56(1985), 297-308.
• [5] -, -, On some classes of first-order differential subordination, Mirch. Math. 32(1985), 185-195.
• [6] F. Ronning, On starlike functions associated with parabolic regions, Ann. Univ, Mariae Curie-Skłodowska, Sect. A, 45(14), 1991, 117-122.
• [7] S. Ruscheweyh, New criterion for univalent functions, Proc. Amer. Math. Soc., 49(1975), 109-115.