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- Title
Applications of Differential Subordination for Functions with Fixed Second Coefficient to Geometric Function Theory.
- Authors
Lee, See Keong; Ravichandran, V.; Supramaniam, Shamani
- Abstract
The theory of second order differential subordination of S. S. Miller and P. T. Mocanu [Differential Subordinations, Dekker, New York, 2000] was recently extended to functions with fixed initial coefficient by R. M. Ali, S. Nagpal and V. Ravichandran [Second-order differential subordination for analytic functions with fixed initial coefficient, Bull. Malays. Math. Sci. Soc. (2) 34 (2011), 611-629] and applied to obtain several generalization of classical results in geometric function theory. In this paper, further applications of this subordination theory is given. In particular, several sufficient conditions related to starlikeness, convexity, close-to-convexity of normalized analytic functions are derived.
- Subjects
GEOMETRIC function theory; COEFFICIENTS (Statistics); MILLER, S. S.; MOCANU, P. T.; STAR-like functions; CONVEX functions; ANALYTIC functions
- Publication
Tamsui Oxford Journal of Information & Mathematical Sciences (TOJIMS), 2013, Vol 29, Issue 2, p267
- ISSN
2222-4424
- Publication type
Article