New univalence criterions for special general integral operators

• Autorzy: Ebadian A. , Sokół J.

Identyfikatory

DOI

10.7862/rf.2013.5

• Języki publikacji: EN

Abstrakty

EN

In this work we consider some integral operators on the special subclasses of the set of analytic functions in the unit disc which are defined by the Hadamard product. Using the univalence criterions, we obtain new sucient conditions for these operators to be univalent in the open unit disk. We give some applications of the main results.

Słowa kluczowe

EN

Hadamard product; integral operator; univalent functions

PL

iloczyn Hadamarda; operator całkowy; odwzorowanie jednokrotne

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2013
• Tom: Vol. 36
• Strony: 63--69
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Ebadian A.

• Department of Mathematics, Urmian University, Urmia, Iran

autor

Sokół J.

• Department of Mathematics, Rzeszow University of Technology, al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland

Bibliografia

• [1] P. L. Duren, Univalent functions, Springer-Verlag, New York, (1983).
• [2] E. Deniz, D. Raducanu and H. Orhan, On the univalence of an integral operator defined by Hadamard product, Appl. Math. Letters, 25, (2012), 179-184.
• [3] B. A. Frasin and M. K. Aouf, Univalence conditions for a new general integral operator, Hace. J. Math. and Stat., 39, (4), (2010), 567-575.
• [4] Z. J. Jakubowski, On the coefficients of starlike functions of some classes, Ann. Polon. Math., 26, (1972), 305-313.
• [5] N. Pascu, An improvement of Backer's univalence criterion (Proceedings of the Commemorative Session Simion Stoilow, Brasov), (1987), 43-48.
• [6] M. S. Robertson, Certain classes of starlike functions, Michigan Math. J. 76, no.1, (1954), 755-758.