Abstract
Many authors have obtained some inclusion properties of certain subclasses of univalent and functions associated with distribution series, such as Pascal distribution, Binomial distribution, Poisson distribution, Mittag–Leffler-type Poisson distribution, and Geometric distribution. In the present paper, we obtain some inclusion relations of the harmonic class H(α,δ) with the classes SH* of starlike harmonic functions and KH of convex harmonic functions, also for the harmonic classes TNHβ and TRHβ associated with the operator Υ defined by applying certain convolution operator regarding Poisson distribution series. Several consequences and corollaries of the main results are also obtained.
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