On the symmetric q-analog on the bi-univalent functions with respect to symmetric points

2023/12/15 by Long, Pinhong, Han, Huili, Orhan, Halit +1
#30C45 #30C50 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2312.09617

Abstract

Our objective is to usher and investigate the subclass\widetilde\mathcalS^*_∑^η_q(μ,λ;ϕ) of the function class ∑ of analytic and bi-univalent functions related with the symmetric q-derivative operator and the generalized Bernardi integral operator. On the one hand, without the generalized Bernardi integral operator we estimate the second Hankel determinants for the reduced subclasses \widetilde\mathcalS^*_∑q(λ;ϕ) with respect to symmetric points. On the other hand, we also give the corresponding results of Fekete-Szegö functional inequalities and the upper bounds of the coefficients a₂ and a₃ for these subclasses.

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