We consider two new subclasses S ∑m (τ, λ , α) and S ∑m (τ, λ , β) of ∑ m consisting of analytic and m-fold symmetric biunivalent functions in the open unit disk U. Furthermore, we establish bounds for the coefficients of functions in these subclasses and several related classes are also considered. In addition to these, connections to earlier known results are presented.
The purpose of this paper is to find new inclusion relations of the harmonic class HF(ϱ,γ) with the subclasses SHF*,KHF and TNHF(τ) of harmonic functions by applying the convolution operator Θ(ℑ) associated with the Mittag-Leffler function. Further for ϱ=0, several special cases of the main results are also obtained.
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