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

N. Magesh; J. Nirmala; J. Yamini

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

Complex Variables 2020-01-24 v1

Authors: N. Magesh , J. Nirmala , J. Yamini

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 - Szeg\"{o} inequalities. Also we discuss the special cases of the obtained results.

Keywords

special functions inequalities

Cite

@article{arxiv.2001.08569,
  title  = {Initial estimates for certain subclasses of bi-univalent functions with $\kappa-$Fibonacci numbers},
  author = {N. Magesh and J. Nirmala and J. Yamini},
  journal= {arXiv preprint arXiv:2001.08569},
  year   = {2020}
}

Comments

20 pages. arXiv admin note: substantial text overlap with arXiv:1810.06216

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