Third Hankel Determinant for a Subclass of Univalent Functions Associated with Lemniscate of Bernoulli

  • Ullah, N.
  • Ali, I.
  • Hussain, S.M.
  • Ro, J.-S.
  • Khan, N.
  • 외 1명
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초록

This paper deals with a new subclass of univalent function associated with the right half of the lemniscate of Bernoulli. We find the upper bound of the Hankel determinant H3 (1) for this subclass by applying the Carlson–Shaffer operator to it. The present work also deals with certain properties of this newly defined subclass, such as the upper bound of the Hankel determinant of order 3, coefficient estimates, etc.

키워드

Analytic functionsCarlson–Shaffer operatorHankel determinantLemniscate of BernoulliStarlike functions
제목
Third Hankel Determinant for a Subclass of Univalent Functions Associated with Lemniscate of Bernoulli
저자
Ullah, N.Ali, I.Hussain, S.M.Ro, J.-S.Khan, N.Khan, B.
DOI
10.3390/fractalfract6010048
발행일
2022-01
유형
Article
저널명
Fractal and Fractional
6
1