CERTAIN SUBCLASSES OF p-VALENTLY CLOSED-TO-CONVEX FUNCTION WITH THE GENERALIZED SĂLĂGEAN OPERATOR

Oh Sang Kwon (Korea) and Byung Gu Park (Korea)

Received September 3, 2007

References:

[1] M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover Publ. Inc., New York, 1971. [2] F. M. Al-Oboudi, On univalent functions defined by a generalized Sălăgean operator, Int. J. Math. Math. Sci. 2004, no. 25-28, 1429-1436. [3] V. V. Anh, k-fold symmetric starlike univalent functions, Bull. Austral. Math. Soc. 32 (1985), 419-436. [4] S. S. Miller and P. T. Mocanu, Differential subordinations and univalent functions, Michigan Math. J. 28 (1981), 157-172. [5] St. Ruscheweyh and T. Sheil-Small, Hadamard products of Schlicht functions and the Pólya-Schoenberg conjecture, Comment. Math. Helv. 48 (1973), 119-135. [6] G. S. Sălăgean, Subclasses of univalent functions, Lecture Notes in Math., 1013, Springer, Berlin, 1983.

Keywords and phrases: Sălăgean operator, closed-to-convex functions of order a, differential subordination.