Hankel determinant for certain classes of analytic functions

Saqib Hussain, Shahid Khan, Ghulam Roqia, Maslina Darus

Research output: Contribution to journalArticle

Abstract

The aim of present investigation is to calculate upper bound for third Hankel determinant for certain new classes of analytic functions related with Cassinian ovals (x2 +y2) -2(x2 -y2) = c2 -1, which reduces to Lemniscate of Bernoulli for c = 1.

Original languageEnglish
Pages (from-to)9105-9108
Number of pages4
JournalJournal of Computational and Theoretical Nanoscience
Volume13
Issue number12
DOIs
Publication statusPublished - 2016

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Cassinian oval
Lemniscate of Bernoulli
Hankel Determinant
analytic functions
determinants
Analytic function
Upper bound
Calculate
Class

Keywords

  • Analytic functions
  • Hankel determinant
  • Starlike functions

ASJC Scopus subject areas

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Computational Mathematics
  • Electrical and Electronic Engineering

Cite this

Hankel determinant for certain classes of analytic functions. / Hussain, Saqib; Khan, Shahid; Roqia, Ghulam; Darus, Maslina.

In: Journal of Computational and Theoretical Nanoscience, Vol. 13, No. 12, 2016, p. 9105-9108.

Research output: Contribution to journalArticle

Hussain, Saqib ; Khan, Shahid ; Roqia, Ghulam ; Darus, Maslina. / Hankel determinant for certain classes of analytic functions. In: Journal of Computational and Theoretical Nanoscience. 2016 ; Vol. 13, No. 12. pp. 9105-9108.
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