Coefficient inequalities for a class of analytic functions associated with the lemniscate of Bernoulli

Auteurs-es

  • Trailokya Panigrahi KIIT University School of Applied Sciences Department of Mathematics
  • Janusz Sokól University of Rzeszów Faculty of Mathematics and Natural Sciences

DOI :

https://doi.org/10.5269/bspm.v37i4.32701

Mots-clés :

Starlike function, Fekete-Szego inequality, Hankel determinant, Lemniscate of Bernoulli

Résumé

In this paper, a new subclass of analytic functions ML_{\lambda}^{*}  associated with the right half of the lemniscate of Bernoulli is introduced. The sharp upper bound for the Fekete-Szego functional |a_{3}-\mu a_{2}^{2}|  for both real and complex \mu are considered. Further, the sharp upper bound to the second Hankel determinant |H_{2}(1)| for the function f in the class ML_{\lambda}^{*} using Toeplitz determinant is studied. Relevances of the main results are also briefly indicated.

Biographies de l'auteur-e

  • Trailokya Panigrahi, KIIT University School of Applied Sciences Department of Mathematics

    Department of mathematics,

    Associate Professor

  • Janusz Sokól, University of Rzeszów Faculty of Mathematics and Natural Sciences
    Assistant Professor,
    Department of Mathematics

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Publié

2018-01-09

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Research Articles