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

Sibel Yalçın (Department of Mathematics, Bursa Uludag University, 16059, Görükle, Bursa,)
Şahsene 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,)

Journal of Mathematical and Fundamental Sciences
Vol. 52 No. 2 (2020)

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