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Ezekiel Abiodun Oyekan, Ayotunde Olajide Lasode, Oluwasegun Adeshina Olukoya, Peter Oluwafemi Adepoju, Second Hankel determinant for a certain function class of bi-univalent functions associated with Salagean derivative operator, Eur. J. Math. Appl. 3 (2023), Article ID 15.

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Volume 3 (2023), Article ID 15

https://doi.org/10.28919/ejma.2023.3.15

Published: 14/08/2023

Abstract:

In this work, we investigate the bounds on the fourth initial coefficient $|a_4|$ and the second Hankel determinant $|a_2a_4 – a^ 2_3|$ for a class of analytic and bi-univalent functions defined in the open unit disk. The class is connected with the Salagean differential operator and involves a linear combination of the classes of strongly bi-starlike functions and strongly bi-convex functions. It was also shown that the investigated class generalized many known classes by varying the parameters in the definition of the class.

How to Cite:

Ezekiel Abiodun Oyekan, Ayotunde Olajide Lasode, Oluwasegun Adeshina Olukoya, Peter Oluwafemi Adepoju, Second Hankel determinant for a certain function class of bi-univalent functions associated with Salagean derivative operator, Eur. J. Math. Appl. 3 (2023), Article ID 15. https://doi.org/10.28919/ejma.2023.3.15