The aim of this paper is to establish certain subordination results for analytic functions involving Atangana–Baleanu fractional integral Bessel functions. Studying properties by using various types operators a technique that widely used.

In this paper we introduce some functions which are multivalently analytic defined by the subordination property and the DziokSrivastava linear operator. We obtain characterizing property, growth and distortion inequalities, closure theorem, extreme points, radius of starlikeness, convexity, and close-to-convexity for the functions in the class. We also discuss inclusion and neighbourhood prope...

Abstract: In this paper we introduce a new subclass of normalized analytic functions in the open unit disc which is defined by the Al-Oboudi differential operator. A coefficient inequality, extreme points and integral mean inequalities of a differential operator for this class are given. We investigate various subordination results for the subclass of analytic functions and obtain sufficient co...

For r > 0 let r {z ∈ : |z| < r}. Let 1 . Let the functions f and F be analytic in the unit disc . A function f is called subordinate to F, written f ≺ F, if F is univalent in , f 0 F 0 and f ⊂ F . Let D be a domain in 2 and ψ : 2 ⊃ D → be an analytic function, and let p be a function analytic in with p z , zp′ z ∈ D, z ∈ and h be a function analytic and univalent in . The function p is said to ...

In this work, we introduce and investigate a new subclass of analytic bi-univalent functions based on subordination conditions between the zero-truncated Poisson distribution Gegenbauer polynomials. More precisely, will estimate first two initial Taylor–Maclaurin coefficients solve Fekete–Szegö functional problem for belonging to subclass.