On a subfamily of $p$-valent functions with negative coefficients

Authors

  • S. R. Kulkarni Dept. of Mathematics, Willingdon College, Sangli – 416 415, India Author
  • M. K. Aouf Dept. of Mathematics, Faculty of Science, University of Mansoura, Mansoura, Egypt Author
  • S. B. Joshi Dept. of Mathematics, Walchand College of Eng., Sangli – 416 415, India Author

Keywords:

$p$-valent function, distortion theorem, radius of convexity

Subjects:

30C45

Abstract

Sharp results concerning coefficients, distortion theorem and the radius of convexity for the class $P_p^*(\alpha,\beta,\xi)$ are determined. Furthermore it is shown that the class $P_p^*(\alpha,\beta,\xi)$ is closed under convex linear combinations. The extreme points of $P_p^*(\a,\b,\xi)$ are also determined.

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Published

1994-10-15

Issue

Vol. 46 No. 3–4 (1994): Vol. 46, Issue 3–4

Section

Articles

License

Copyright (c) 1994 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.