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

We investigate harmonic mappings $$f=h+{\bar{g}}$$ defined in the unit disk, where g and h satisfy certain prescribed conditions analytic part belongs to Ma Minda class of starlike functions. Certain sharp radius results for univalency, close-to-convexity, fully starlikeness, convexity, strongly starlikeness are established. also calculate uniformly convexity these Several enhance well-known re...

let $p$ be an analytic function defined on the open unit disc $mathbb{d}$ with $p(0)=1.$ the conditions on $alpha$ and $beta$ are derived for $p(z)$ to be subordinate to $1+4z/3+2z^{2}/3=:varphi_{c}(z)$ when $(1-alpha)p(z)+alpha p^{2}(z)+beta zp'(z)/p(z)$ is subordinate to $e^{z}$. similar problems were investigated for $p(z)$ to lie in a region bounded by lemniscate of bernoulli $|w^{2}-1...

In this paper we consider the classes of starlike functions, starlike functions of order α, convex functions, convex functions of order α and the classes of the univalent functions denoted by SH (β), SP and SP (α, β). On these classes we study the convexity and αorder convexity for a general integral operator.