Some simple conditions of strongly-starlikeness and spirallikeness of a given order. (English) Zbl 1084.30506

Pap, Margit

Mathematica 45(68), No. 2, 161-166 (2003).

Summary: In this paper we deduce some simple conditions of strongly-starlikeness and spirallikeness of a given order.
Our results generalize and unify certain known results due to S. Ponnusamy in [Math., Rev. Anal. Numér. Théor. Approximation, Math. 32(55), No. 1, 67-76 (1990; Zbl 0761.30008)] and V. Anasiu and P. T. Mocanu in [Math., Rev. Anal. Numér. Théor. Approximation, Math. 31(54), No. 2, 97-101 (1989; Zbl 0716.30003)]

MSC:

30C45	Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C80	Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination

Keywords:

differential subordination; strongly-starlike function; spiralllike function of given order

Citations:

Zbl 0761.30008; Zbl 0716.30003