On H3(p) hankel determinant for certain subclass of p-valent functions

A. A. Amourah, Feras Yousef, Tariq Al-Hawary, Maslina Darus

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The aim of this paper is to obtain an upper bound to the H3(p) Hankel determinant for certain subclass of p-valent functions. To do so, we obtain best possible bounds for the functionals jap+3 - ap+1ap+2j and ap+2 - a2 p+1 , then using known upper bound for the functional ap+1ap+3 -a2 p+2 we obtain the required sharp upper bound to the H3(p) Hankel determinant.

Original languageEnglish
Pages (from-to)611-618
Number of pages8
JournalItalian Journal of Pure and Applied Mathematics
Issue number37
Publication statusPublished - 1 Jan 2017

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Hankel Determinant
P-valent Functions
Upper bound

Keywords

  • Analytic function
  • Hankel determinant
  • P-valent function
  • Upper bound

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On H3(p) hankel determinant for certain subclass of p-valent functions. / Amourah, A. A.; Yousef, Feras; Al-Hawary, Tariq; Darus, Maslina.

In: Italian Journal of Pure and Applied Mathematics, No. 37, 01.01.2017, p. 611-618.

Research output: Contribution to journalArticle

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