Subordination properties ofP-valent functions defined by integral operators

Subordination properties of P-valent functions defined by integral operators

By applying certain integral operators to p-valent functions we define a comprehensive family of analytic functins. The subordinations properties of this family is studied, which in certain special cases yield some of the previously obtained results.

SOME RESULTS OF p−VALENT FUNCTIONS DEFINED BY INTEGRAL OPERATORS

In this paper, we derive some properties for Gp,n,l,δ(z) and Fp,n,l,δ(z) considering the classes MT (p, βi, μi) , KD (p, βi, μi) and Np (γ). Two new subclasses KDFp,n,l (β, μ, δ1, δ2, ..., δn) and KDGp,n,l (β, μ, δ1, δ2, ..., δn) are defined. Necessary and sufficient conditions for a family of functions fi and gi, respectively, to be in the KDFp,n,l (β, μ, δ1, δ2, ..., δn) and KDGp,n,l (β, μ, δ...

Some Subordination Results of Multivalent Functions Defined by Integral Operator

Certain subclass of $p$-valent meromorphic Bazilevi'{c} functions defined by fractional $q$-calculus operators

The aim of the present paper is to introduce and investigate a new subclass of Bazilevi'{c} functions in the punctured unit disk $mathcal{U}^*$ which have been described through using of the well-known fractional $q$-calculus operators, Hadamard product and a linear operator. In addition, we obtain some sufficient conditions for the func...

Double Subordination-Preserving Properties for Certain Integral Operators

Let f and F be members of . The function f is said to be subordinate to F, or F is said to be superordinate to f , if there exists a function w analytic in U, with w(0)= 0 and |w(z)| < 1, and such that f (z)= F(w(z)). In such a case, we write f ≺ F or f (z)≺ F(z). If the function F is univalent in U, then f ≺ F if and only if f (0)= F(0) and f (U)⊂ F(U) (cf. [1, 2]). Let φ : C2 → C and let h be...