Coefficient inequality for certain subclass of $p$-valent analytic functions whose reciprocal derivative has a positive real part

Authors

  • D. Vamshee Krishna Department of Mathematics, GIT, GITAM University, Visakhapatnam- 530 045, A. P., India Author
  • B. Venkateswarlu Department of Mathematics, Kakatiya University, Warangal-506 009, T. S., India Author
  • T. RamReddy Department of Mathematics, Kakatiya University, Warangal-506 009, T. S., India Author

Keywords:

$p$-valent analytic function, function whose derivative has a positive real part, second Hankel determinant, positive real function, Toeplitz determinants

Subjects:

30C45, 30C50

Abstract

The objective of this paper is to introducecertain new subclass of $p$-valent analytic functions in the openunit disc $E=\{z:|z|<1\}$ and obtain sharp upper bound for thesecond Hankel determinant of functions belonging to this class,using Toeplitz determinants.

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Published

2016-04-15

Issue

Vol. 68 No. 2 (2016): Vol. 68, Issue 2

Section

Articles

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Copyright (c) 2016 Authors retain copyright to their work.

Creative Commons License

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