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...

In this paper, we consider two general p-valent integral operators for certain analytic functions in the unit disc U and give some properties for these integral operators on some classes of univalent functions.

Abstract. The object of the present paper is to study certain subclasses J∗ p (a, b, σ) and Cp(a, b, σ) of analytic p-valent functions, and obtain coefficient bounds and distortion properties for functions belonging to these subclasses. Further results include distortion inequalities and radii of close-toconvexity, starlikeness and convexity for these classes of functions.

Using the fractional integral operator D−λ z and generalized SrivastavaAttiya operator J s,b , we introduce and study some differential subordination and superordination results for p-valent analytic functions in the open unit disk. These results are obtained by investigating appropriate classes of admissible functions.

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.

This paper is concerned with the differential subordination properties of multivalent functions involving by generalized integral operator. We investigate some applications a results for normalized analytic function ( ) and operator on class all functions. Some our previously known results. Keywords — Analytic functions; p–valent; operator; subordination.

‎in this paper‎, ‎we give some necessary conditions for a complex‎ ‎difference equation of malmquist type‎ $$‎sum^n_{j=1}f(z+c_j)=frac{p(f(z))}{q(f(z))}‎,$$ ‎where $n(in{mathbb{n}})geq{2}$‎, ‎and $p(f(z))$ and $q(f(z))$ are‎ ‎relatively prime polynomials in $f(z)$ with small functions as‎ ‎coefficients‎, ‎admitting a meromorphic function of finite order‎. ‎moreover‎, ‎the properties of finite o...

We investigate the complex oscillation of some differential polynomials generated by solutions of the differential equation f ′′ + A1(z)f ′ + A0(z)f = 0, where A1(z), A0(z) are meromorphic functions having the same finite iterated p-order.

This is an appendix to the English translation of the book by A. A. Goldberg and I. V. Ostrovskii, Distribution of values of meromorphic functions, Moscow, Nauka, 1970. An English translation of this book is to be published soon by the AMS. In this appendix we survey the results obtained on the topics of the book after 1970. The literature on meromorphic functions is very large. There is a comp...