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Initial estimates for certain subclasses of bi-univalent functions with \(\kappa \)-Fibonacci numbers

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Abstract

In this work, we consider certain class of bi-univalent functions related with shell-like curves related to \(\kappa \)-Fibonacci numbers. Further, we obtain the estimates of initial Taylor–Maclaurin coefficients (second and third coefficients) and Fekete–Szegö inequalities. Also we discuss the special cases of the obtained results.

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Authors and Affiliations

  1. Post-Graduate and Research Department of Mathematics, Government Arts College for Men, Krishnagiri, Tamilnadu, 635001, India

    Nanjundan Magesh

  2. Department of Mathematics, Maharani’s Science College for Women, Bangalore, Karnataka, 560 0001, India

    Jodalli Nirmala

  3. Department of Mathematics, Govt First Grade College Vijayanagar, Bangalore, Karnataka, 560104, India

    Jagadeesan Yamini

  4. Department of Computer Science and Engineering, R. V. College of Engineering, Bangalore, Karnataka, 560 059, India

    Sondekola Rudra Swamy

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  1. Nanjundan Magesh
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  2. Jodalli Nirmala
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  3. Jagadeesan Yamini
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  4. Sondekola Rudra Swamy
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All authors are equally contributed in writing this manuscript. All authors read and approved the final manuscript.

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Correspondence to Nanjundan Magesh.

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Nanjundan Magesh, Jodalli Nirmala, Jagadeesan Yamini and Sondekola Rudra Swamy dedicate this work to Prof. H. M. Srivastava on the occasion of his 80th birthday.

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Magesh, N., Nirmala, J., Yamini, J. et al. Initial estimates for certain subclasses of bi-univalent functions with \(\kappa \)-Fibonacci numbers. Afr. Mat. 34, 35 (2023). https://doi.org/10.1007/s13370-023-01077-1

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