Hüseyin IRMAK, Nak Eun CHO

A differential operator and its applications to certain multivalently analytic functions

Yayın Aralığı: 6
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

In the present paper, the authors obtain some interesting properties of (ordinary) differential operators. Several useful consequences associated with the main results are also considered.

PDF

___

[1] Chen, M.P., Irmak, H. and Srivastava, H.M. Some families multivalently analytic functions with negative coefficients, J. Math. Anal. Appl. 214(2), 674-690, 1997.
[2) Duren, P. L. Univalent Functions, Grundlehren der Mathematischen Wissenschaften 259 (Springer-Verlag, New York, Berlin, Heidelberg, and Tokyo, 1983).
[3] Goodman, A. W. Univalent Functions, Vols. I and II (Polygonal Publishing House, Washington, New Jersey, 1983).
[4] Irmak, H., Cho, N.E., Çetin, Ö. F. and Raina, R. K. Certain inequalities involving meromor-phically multivalent functions, Hacet. Bull. Nat. Sci. Eng. Ser. B 30, 39-43, 2001.
[5] Irmak, H., Lee, S.H. and Cho, N.E. Some multivalently starlike functions with negative coefficients and their subclasses defined by using a differential operator, Kyungpook Math. J. 37(1), 43-51, 1997.
[6] Irmak, H. A class ofp-valently analytic functions with positive coefficients, Tamkang J. Math. 27(4), 315-322, 1995.
[7] Jack, I. S. Functions starlike and convex of order a, J. London Math. Soc. 3, 469-474, 1971.
[8] Miller, S. S. and Mocanu, P. T. Second order differential inequalities in the complex palne, J. Math. Anal. Appl. 65, 289-305, 1978.
[9] Srivastava, H.M. and Owa, S. (Editors), Current Topics in Analytic Function Theory (World Scientific Publishing Company, Singapore, New Jersey, London, and Hong Kong, 1992).