Hankel Inequalities for a Subclass of Bi-Univalent Functions based on Salagean type q-Difference Operator

Authors

  • Sibel Yalçın Department of Mathematics, Bursa Uludag University, 16059, Görükle, Bursa,
  • ?ahsene Altınkaya Department of Mathematics, Bursa Uludag University, 16059, Görükle, Bursa,
  • Gangadharan Murugusundaramoorthy School of Advanced Sciences, VIT University, Vellore 632014, Tamilnadu,
  • Kaliappan Vijaya Department of Mathematics, Vellore Institute of Technology, Vellore-632014,

DOI:

https://doi.org/10.5614/j.math.fund.sci.2020.52.2.4

Keywords:

bi-univalent, coefficient bounds, convex functions, Hankel inequalities, Starlike, univalent

Abstract

In this investigation a new subclass of bi-univalent functions is established that is defined in the open unit disk={? ?: || < 1}and are endowed with the Slgean type q-difference operator. Then, Hankel inequalities for the new function class are obtained and several related consequences of the results are also stated.

Author Biographies

Gangadharan Murugusundaramoorthy, School of Advanced Sciences, VIT University, Vellore 632014, Tamilnadu,

School of Advanced Sciences, VIT University, Vellore 632014, Tamilnadu, India

Kaliappan Vijaya, Department of Mathematics, Vellore Institute of Technology, Vellore-632014,

School of Advanced Sciences, VIT University, Vellore 632014, Tamilnadu, India

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Published

2020-09-06

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