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Fekete–Szegö problem for certain subclasses of analytic functions defined by the combination of differential operators

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Abstract

In this paper, we introduce and study some new subclasses of analytic functions defined by the combination of Al-Oboudi and Ruscheweyh differential operators, and obtain coefficient estimates and Fekete–Szegö inequalities for these new subclasses. The results presented in this paper improve the recent work of Kanas and Darwish (Appl Math Lett 23(7), 777–782, 2010).

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Acknowledgements

The authors would like to express their deepest appreciation to the reviewers for their valuable suggestions and comments to improve the paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Letters, Kafkas University, 36100, Kars, Turkey

    Murat Çağlar

  2. Department of Mathematics, Faculty of Science, Atatürk University, 25240, Erzurum, Turkey

    Halit Orhan

Authors
  1. Murat Çağlar
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  2. Halit Orhan
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Correspondence to Murat Çağlar.

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Dedicated to Prof. Dr. Emin ÖZÇAĞ on the occasion of his 60th birthday.

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Çağlar, M., Orhan, H. Fekete–Szegö problem for certain subclasses of analytic functions defined by the combination of differential operators. Bol. Soc. Mat. Mex. 27, 41 (2021). https://doi.org/10.1007/s40590-021-00349-9

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