Let 𝕊*(p) be the class of functions f(z) which are p-valently starlike in the open unit disk 𝕌. Two sufficient conditions for a function f(z) to be in the class 𝕊*(p) are shown.
@article{bwmeta1.element.bwnjournal-article-apmv62z1p75bwm, author = {Shigeyoshi Owai and Mamoru Nunokawa and Hitoshi Saitoh}, title = {Sufficient conditions for multivalent starlikeness}, journal = {Annales Polonici Mathematici}, volume = {62}, year = {1995}, pages = {75-78}, zbl = {0839.30012}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv62z1p75bwm} }
Shigeyoshi Owai; Mamoru Nunokawa; Hitoshi Saitoh. Sufficient conditions for multivalent starlikeness. Annales Polonici Mathematici, Tome 62 (1995) pp. 75-78. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv62z1p75bwm/
[000] [1] I. S. Jack, Functions starlike and convex of order α, J. London Math. Soc. 3 (1971), 469-474. | Zbl 0224.30026
[001] [2] S. S. Miller and P. T. Mocanu, Second order differential inequalities in the complex plane, J. Math. Anal. Appl. 65 (1978), 289-305. | Zbl 0367.34005
[002] [3] M. Nunokawa, On properties of non-Carathéodory functions, Proc. Japan Acad. 68 (1992), 152-153. | Zbl 0773.30020
[003] [4] S. Owa, M. Nunokawa and S. Fukui, A criterion for p-valently starlike functions, Internat. J. Math. and Math. Sci., to appear. | Zbl 0797.30014