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Third Hankel Determinant for a Subfamily of Holomorphic Functions Related with Lemniscate of Bernoulli

Author

Listed:
  • Halit Orhan

    (Department of Mathematics, Faculty of Science, Atatürk University, 25240 Erzurum, Türkiye)

  • Murat Çağlar

    (Department of Mathematics, Faculty of Science, Erzurum Technical University, 25100 Erzurum, Türkiye)

  • Luminiţa-Ioana Cotîrlă

    (Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania)

Abstract

The main goal of this investigation is to obtain sharp upper bounds for Fekete-Szegö functional and the third Hankel determinant for a certain subclass SL ∗ u , v , α of holomorphic functions defined by the Carlson-Shaffer operator in the unit disk. Finally, for some special values of parameters, several corollaries were presented.

Suggested Citation

  • Halit Orhan & Murat Çağlar & Luminiţa-Ioana Cotîrlă, 2023. "Third Hankel Determinant for a Subfamily of Holomorphic Functions Related with Lemniscate of Bernoulli," Mathematics, MDPI, vol. 11(5), pages 1-12, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:5:p:1147-:d:1080275
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