Upper bound of the third Hankel determinant for a subclass of close-to-convex functions associated with the lemniscate of Bernoulli

Hari M. Srivastava, Qazi Zahoor Ahmad, Maslina Darus, Nazar Khan, Bilal Khan, Naveed Zaman, Hasrat Hussain Shah

Research output: Contribution to journalArticle

Abstract

In this paper, our aim is to define a new subclass of close-to-convex functions in the open unit disk U that are related with the right half of the lemniscate of Bernoulli. For this function class, we obtain the upper bound of the third Hankel determinant. Various other related results are also considered.

Original languageEnglish
Article number848
JournalMathematics
Volume7
Issue number9
DOIs
Publication statusPublished - 1 Sep 2019

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Lemniscate of Bernoulli
Close-to-convex Functions
Hankel Determinant
Unit Disk
Upper bound
Class

Keywords

  • Analytic functions
  • Close-to-convex functions
  • Lemniscate of Bernoulli Hankel determinant
  • Subordination

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Upper bound of the third Hankel determinant for a subclass of close-to-convex functions associated with the lemniscate of Bernoulli. / Srivastava, Hari M.; Ahmad, Qazi Zahoor; Darus, Maslina; Khan, Nazar; Khan, Bilal; Zaman, Naveed; Shah, Hasrat Hussain.

In: Mathematics, Vol. 7, No. 9, 848, 01.09.2019.

Research output: Contribution to journalArticle

Srivastava, Hari M. ; Ahmad, Qazi Zahoor ; Darus, Maslina ; Khan, Nazar ; Khan, Bilal ; Zaman, Naveed ; Shah, Hasrat Hussain. / Upper bound of the third Hankel determinant for a subclass of close-to-convex functions associated with the lemniscate of Bernoulli. In: Mathematics. 2019 ; Vol. 7, No. 9.
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