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Coefficient bounds and differential subordinations for analytic functions associated with starlike functions

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Abstract

The aim of the present paper is to study some coefficient problems for certain classes associated with starlike functions such as sharp bounds for initial coefficients, logarithmic coefficients, Hankel determinants and Fekete–Szegö problems. Moreover, we obtain some geometric properties as applications of differential subordinations.

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Acknowledgements

The authors would like to express their thanks to the referees for their constructive advices and comments that helped to improve this paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran

    Ali Ebadian & Ebrahim Analouei Adegani

  2. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084, Cluj-Napoca, Romania

    Teodor Bulboacă

  3. Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan, 608-737, Republic of Korea

    Nak Eun Cho

Authors
  1. Ali Ebadian
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  2. Teodor Bulboacă
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  3. Nak Eun Cho
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  4. Ebrahim Analouei Adegani
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Correspondence to Ebrahim Analouei Adegani.

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The authors declare that they have no conflict of interest.

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The third author was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (No. 2019R1I1A3A01050861).

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Ebadian, A., Bulboacă, T., Cho, N.E. et al. Coefficient bounds and differential subordinations for analytic functions associated with starlike functions. RACSAM 114, 128 (2020). https://doi.org/10.1007/s13398-020-00871-x

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  • DOI: https://doi.org/10.1007/s13398-020-00871-x

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