ANGULAR ESTIMATIONS OF CERTAIN ANALYTIC FUNCTIONS

Authors

  • NAK EUN CHO Department of Applied Mathematics, Pukyong National University, Pusan 608-737, Korea.
  • IN HWA KIM Department of Applied Mathematics, Pukyong National University, Pusan 608-737, Korea.

DOI:

https://doi.org/10.5556/j.tkjm.29.1998.4298

Keywords:

subordinate, starlike functions, angular estimations

Abstract

The object of the present paper is to investigate some argument properties of certain analytic functions in the open unit disk. Our resuIt contain some interesting corollaries as the special cases.

References

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S. S. Miller and P. T. Mocanu, "Differential subordination and univalent functions," Michi­gan Math. J., 28(1981), 157-171.

M. Nunokawa, "On the order of strongly starlikcness of strongly convex functions," Proc. Japdn Acad., 69, Ser. A(l993), 234-237.

M. Nunokawa, "On some angular estimates of analytic functions," Math. Japonica, 41(1995), 1-6.

K. Sakaguchi, "On a certain univalent mapping," J. Math. Soc. Japan, 11(1959), 72-75.

T. Sekine and S. Owa, "Certain subclasses of starlike functions of order o," Pan Amer. Math. J., 5(1995), 95-100.

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Published

1998-03-01

How to Cite

CHO, N. E., & KIM, I. H. (1998). ANGULAR ESTIMATIONS OF CERTAIN ANALYTIC FUNCTIONS. Tamkang Journal of Mathematics, 29(1), 47-53. https://doi.org/10.5556/j.tkjm.29.1998.4298

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Section

Papers