On multivalent starlike functions

Authors

  • Mamoru Nunokawa
  • Janusz Sokol
  • Nikola Tuneski
  • Biljana Jolevska-Tuneska

DOI:

https://doi.org/10.24193/subbmath.2019.1.09

Keywords:

analytic functions, univalent functions, Ozaki's condition

Abstract

We prove some new sucient conditions for function to be p-valent, or p-valently starlike in the unit disc.

References

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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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Published

2019-03-14

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Section

Articles