On Certain Multivalent Functions

Nunokawa, Mamoru; Owa, Shigeyoshi; Sekine, Tadayuki; Yamakawa, Rikuo; Saitoh, Hitoshi; Nishiwaki, Junichi

doi:https://doi.org/10.1155/2007/72393

International Journal of Mathematics and Mathematical Sciences

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Research Article | Open Access

Volume 2007 | Article ID 072393 | https://doi.org/10.1155/2007/72393

On Certain Multivalent Functions

Mamoru Nunokawa,¹Shigeyoshi Owa,²Tadayuki Sekine,³Rikuo Yamakawa,⁴Hitoshi Saitoh,⁵and Junichi Nishiwaki²

Academic Editor: Linda R. Sons

Received11 Feb 2007

Accepted17 Apr 2007

Published04 Jul 2007

Abstract

Let 𝒮*(p,α) be the class of functions f(z) which are analytic and p-valently starlike of order α in the open unit disk E. The object of the present paper is to derive an interesting condition for f(z) to be in the class 𝒮*(p,α).

References

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View at: Google Scholar | Zentralblatt MATH | MathSciNet
M. Nunokawa, “On the theory of multivalent functions,” Tsukuba Journal of Mathematics, vol. 11, no. 2, pp. 273–286, 1987.
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D. R. Wilken and J. Feng, “A remark on convex and starlike functions,” The Journal of the London Mathematical Society, vol. 21, no. 2, pp. 287–290, 1980.
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Copyright

Copyright © 2007 Mamoru Nunokawa et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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