ON A CERTAIN CONVOLUTION OPERATOR FOR MEROMORPHIC FUNCTIONS

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Published: Sep 1, 1995
DOI: https://doi.org/10.5556/j.tkjm.25.1994.4444
Keywords:
Convolution operator meromophic functions

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MING-PO CHEN
Institute of Mathematics Academia Sinica, Taipei, Taiwan, Republic of China.
SHIGEYOSHI OWA
Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577, Japan.

Abstract




A certain convolution operator $D^\alpha f(z)$ for meromorphic functions and two subclasses $M(\alpha)$ and $J(\alpha)$ are introduced. The object of the present paper is to derive some properties of the classes $M(\alpha)$ and $J(\alpha)$. The results of the paper are the generalizations and the improvements of the former results.




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How to Cite
CHEN, M.-P., & OWA, S. (1995). ON A CERTAIN CONVOLUTION OPERATOR FOR MEROMORPHIC FUNCTIONS. Tamkang Journal of Mathematics, 25(3), 209–216. https://doi.org/10.5556/j.tkjm.25.1994.4444
Issue
Vol. 25 No. 3 (1994)
Section
Papers
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References

M.D. Ganigi and B.A. Uralegaddi, "New criteria for meromorphic univalent functions," Bull. Math. Soc. Sci. Math. R. S. Roum. 33(1989), 9-13.

J I.S. Jack, "Functions starlike and convex of order alpha," J. London Math. Soc. (2)3(1971), 469-474.

S. S. Miller and P. T. Mocanu,"Second order differential inequalities in the complex plane," J. Math. Anal. Appl. 65(1978), 289-305.

B.A. Uralegaddi and M.D. Ganigi, "A new criterion for meromorphic convex functions," Tamkang J. Math. 19(1988), 43-48.