On multivalent starlike functions
DOI:
https://doi.org/10.24193/subbmath.2019.1.09Keywords:
analytic functions, univalent functions, Ozaki's conditionAbstract
We prove some new sucient conditions for function to be p-valent, or p-valently starlike in the unit disc.
References
Duren P.L., Univalent functions, Springer-Verlag, 1983.
Jack I. S., Functions starlike and convex of order alpha, J. London Math, Soc. 3(1971) 469{474.
Marx, A., Untersuchungen uber schlichte Abbildungen, Math. Ann. 107 (1932/33), 40{65.
Miller S.S., Mocanu P.T., Differential subordinations: theory and applications, Series of Monographs and Textbooks in Pure and Applied Mathematics, Vol. 225, Marcel Dekker Inc., New York / Basel 2000.
Nunokawa M., Tuneski N., Jolevska-Tuneska B., Marx-Strohhacker type result for p-valent functions, preprint.
Nunokawa M., On the theory of multivalent functions, Tsukuba J. Math. 11(2)(1987) 273-286.
Nunokawa M., Sokol J., Cho N. E., Some applications of Jack's lemma, preprint.
Owa S., Srivastava H.M., Current topics in analytic function theory, World Sci. Publ., River Edge, NJ, 1992.
Srivastava H.M., Patel J., Mohapatra G.P., A certain class of p-valently analytic functions. Math Comput. Model. 41 (2-3) (2005), 321-334.
Strohhacker, E., Beitrage zur Theorie der schlichten Funktionen, Math. Z. 37 (1933), 356-380.
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