Making use of a linear operator, which is defined by the Hadamard product, we introduce and study a subclass Y a,c A,B; p, λ, α of the class A p . In this paper, we obtain the coefficient inequality, distortion theorem, radius of convexity and starlikeness, neighborhood property, modified convolution properties of this class. Furthermore, an application of fractional calculus operator is given....

For functions p analytic in the open unit disc U = {z : |z|< 1} with the normalization p(0)= 1, we consider the families [A,−1], −1 0, consisting of p, which have the disc formulation |p−1|< b in U . We then introduce subordination criteria for the choice of p(z)= zf ′(z)/f(z), where f is analytic in U and n...

Let$mathbb{C}^n$ be the space of $n$ complex variables. Let$Omega_{n,p_2,ldots,p_n}$ be a complete Reinhardt on$mathbb{C}^n$. The Minkowski functional on complete Reinhardt$Omega_{n,p_2,ldots,p_n}$ is denoted by $rho(z)$. The concept ofspirallike mapping of type $beta$ and order $alpha$ is defined.So, the concept of the strong and almost spirallike mappings o...

Many papers concern both the starlikeness and convexity of Bernardi integral operator. Using Nunokawa’s Lemma, we want to determine conditions for strong transform normalized analytic functions g, such that |arg{g′(z)}| &lt;απ2 in open unit disk Δ where 0&lt;α&lt;2. Our results include Mocanu, Nunokawa others on Libera transform.

"Let $C$ and $S^*$ stand for the classes of convex starlike mapping in $\D$, let $\cc$, $\cs$ denote closures respective hulls. We derive characterizations when convolution mappings $\cc$ is convex, as well starlike. Several terms are given convexity within starlikeness $\cs$. also obtain a correspondence via between $S^*$, correspondences subclasses that have $n$-fold symmetry."

We introduce a new class of Bazilevič functions involving the Srivastava–Tomovski generalization Mittag-Leffler function. The family introduced here is superordinated by conic domain, which impacted Janowski obtain coefficient estimates and subordination conditions for starlikeness Fekete–Szegö functional belonging to class.

In this paper, we introduce a new class of meromorphic functions, using the exponent $ q $-derivative operator, and then look at it coefficient estimates, extreme points, convex linear combination, Radii starlikeness, convexity finally partial sum property are investigated.