SOME CLASSES OF ANALYTIC FUNCTIONS RELATED WITH BAZILEVIC FUNCTIONS

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Published: Sep 1, 1997
DOI: https://doi.org/10.5556/j.tkjm.28.1997.4315
Keywords:
Bazilevic functions bounded boundary rotation Hadamard pro­ duct radius of convexity

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KHALIDA INAYAT NOOR
Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia.

Abstract




A certain class $M_k(\alpha,\beta)$ of analytic functions is introduced and it is shown that $M_2(\alpha ,\beta)$ is contained in the class of Bazilcvic functions. Some other properties of $M_k(\alpha,\beta)$ are also derived.




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How to Cite
NOOR, K. I. (1997). SOME CLASSES OF ANALYTIC FUNCTIONS RELATED WITH BAZILEVIC FUNCTIONS. Tamkang Journal of Mathematics, 28(3), 201–204. https://doi.org/10.5556/j.tkjm.28.1997.4315
Issue
Vol. 28 No. 3 (1997)
Section
Papers
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References

H. B. Coonce and M. R. Ziegler, "Functions with bounded Mocanu variation," Rev. Roum. Math. Pures et Appl., 19 {1974), 1093-1104.

K. I. Noor, "On a generalization of close-to-convexity," Int. J. Math. and Math. Sci., 6 (1983), 327-334.

B. Pinchuk, "Functions with bounded boundary rotation," I. J. Math., 10 (1971), 7-16