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AIMS Mathematics

2020, Volume 5, Issue 5: 4412-4423. doi: 10.3934/math.2020281
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Research article

Fekete-Szegö problem for Bi-Bazilevič functions related to Shell-like curves

  • 1.
    Department of Mathematics, Faculty of Science, Ataturk University, 25240 Erzurum, Turkey
  • 2.
    Post-Graduate and Research Department of Mathematics, Government Arts College for Men, Krishnagiri 635001, Tamilnadu, India
  • 3.
    Faculty of Engineering and Technology, SRM University, Kattankulathur-603203, Tamilnadu, India
  • Correction on: AIMS Mathematics 6: 2722–2723
  • Received: 07 March 2020 Accepted: 06 May 2020 Published: 12 May 2020

  • MSC : 30C45, 30C50

  • In the present investigation, we define a subclass of bi-univalent functions related to shell-like curves connected with Fibonacci numbers to find the estimates of second, third Taylor-Maclaurin coefficients and Fekete-Szegö inequalities. Further, certain special cases are also discussed.

    Citation: Halit Orhan, Nanjundan Magesh, Chinnasamy Abirami. Fekete-Szegö problem for Bi-Bazilevič functions related to Shell-like curves[J]. AIMS Mathematics, 2020, 5(5): 4412-4423. doi: 10.3934/math.2020281

    Related Papers:

  • In the present investigation, we define a subclass of bi-univalent functions related to shell-like curves connected with Fibonacci numbers to find the estimates of second, third Taylor-Maclaurin coefficients and Fekete-Szegö inequalities. Further, certain special cases are also discussed.


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    [11] H. M. Srivastava, S. Bulut, M. Çağlar, et al. Coefficient estimates for a general subclass of analytic and bi-univalent functions, Filomat, 27 (2013), 831-842.
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    [13] F. Yousef, S. Alroud, M. Illafe, New subclasses of analytic and bi-univalent functions endowed with coefficient estimate problems, 2018. Available from: https: //arXiv.org/abs/1808.06514.
    [14] H. Ö. Göney, G. Murugusundaramoorthy, J. Sokół, Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers, Acta Univ. Sapientiae, Math., 10 (2018), 70-84.
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  • © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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