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On the Third and Fourth Hankel Determinants for a Subclass of Analytic Functions

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Abstract

The objective of this paper is to investigate the third and fourth Hankel determinants for the class of functions with bounded turning associated with Bernoulli’s lemniscate. The fourth Hankel determinants for 2-fold symmetric and 3-fold symmetric functions are also studied.

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Acknowledgements

The present investigation was supported by the Key Project of Education Department of Hunan Province under Grant no. 19A097 of the P. R. China. The authors would like to thank the referees and editor for their valuable comments and suggestions, which was essential to improve the quality of this paper.

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Authors and Affiliations

  1. School of Mathematics and Computing Science, Hunan First Normal University, Hunan, Changsha, 410205, China

    Zhi-Gang Wang

  2. Department of Mathematics, Government College University Faisalabad, Faisalabad, 38000, Pakistan

    Mohsan Raza

  3. Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, 23200, Pakistan

    Muhammad Arif & Khurshid Ahmad

Authors
  1. Zhi-Gang Wang
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  2. Mohsan Raza
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  3. Muhammad Arif
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  4. Khurshid Ahmad
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Correspondence to Zhi-Gang Wang.

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Communicated by Rosihan M. Ali.

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Wang, ZG., Raza, M., Arif, M. et al. On the Third and Fourth Hankel Determinants for a Subclass of Analytic Functions. Bull. Malays. Math. Sci. Soc. 45, 323–359 (2022). https://doi.org/10.1007/s40840-021-01195-8

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