Classes of multivalent analytic and meromorphic functions with two fixed points

Classes of meromorphic multivalent functions with Montel’s normalization

In the paper we define classes of meromorphic multivalent functions with Montel’s normalization. We investigate the coefficients estimates, distortion properties, the radius of starlikeness, subordination theorems and partial sums for the defined classes of functions. Some remarks depicting consequences of the main results are also mentioned.

Fixed-points and uniqueness of meromorphic functions

Let () () z g z f , be two nonconstant meromorphic functions, and let k n, be two positive integers with. 7 3 + ≥ k n If () () k n f and () () k n g share () z f z CM; and () z g share , IM ∞ then (1) () () z tg z f = for ; 2 ≥ k (2) either () () 2 2 2 1 , cz cz e c z g e c z f − = = or () () z tg z f = for , 1 = k where , , 2 1 c c and c are three nonzero constants satisfying () 1 4 2 2 1 2 − ...

On Certain Classes of Multivalent Analytic Functions

In this paper we introduce the class B(p, n, μ, α) of analytic and p-valent functions to obtain some sufficient conditions and some angular properties for functions belonging to this class.

Some properties of extended multiplier transformations to the classes of meromorphic multivalent functions

 In this paper, we introduce new classes $sum_{k,p,n}(alpha ,m,lambda ,l,rho )$ and $mathcal{T}_{k,p,n}(alpha ,m,lambda ,l,rho )$ of p-valent meromorphic functions defined by using the extended multiplier transformation operator. We use a strong convolution technique and derive inclusion results. A radius problem and some other interesting properties of these classes are discussed.

Fixed Points of Analytic Functions