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Second Hankel determinant for a certain subclass of analytic functions defined by hypergeometric functions

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Abstract

In the present paper, we obtain the upper bounds for the second Hankel determinant and Fekete-Szegö inequalities for a new subclass of analytic functions in the open unit disk defined by the hypergeometric functions. Moreover, several interesting applications of the results presented here are also discussed.

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Acknowledgements

The authors thank to the referees for their valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Atatürk University, Erzurum, Türkiye

    Halit Orhan & Hava Arıkan

  2. Department of Mathematics, Faculty of Science, Erzurum Technical University, Erzurum, Türkiye

    Murat Çağlar

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  1. Halit Orhan
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  2. Murat Çağlar
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  3. Hava Arıkan
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Correspondence to Murat Çağlar.

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Orhan, H., Çağlar, M. & Arıkan, H. Second Hankel determinant for a certain subclass of analytic functions defined by hypergeometric functions. Afr. Mat. 34, 18 (2023). https://doi.org/10.1007/s13370-023-01063-7

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