ON A CERTAIN CONVOLUTION OPERATOR FOR MEROMORPHIC FUNCTIONS

Authors

  • 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.

DOI:

https://doi.org/10.5556/j.tkjm.25.1994.4444

Keywords:

Convolution operator, meromophic functions

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.

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.

Downloads

Published

1995-09-01

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

Section

Papers