A new comprehensive class of analytic functions defined by multiplier transformation

A new comprehensive class of analytic functions defined by multiplier transformation

j=n+1  λ (j − 1) + l + 1 l + 1 m ajz j, where n ∈ N,m ∈ N ∪ {0}, λ, l ≥ 0 and f ∈ An, An = {f ∈ H(U) : f (z) = z + an+1z + · · · , z ∈ U}. A number of interesting consequences of some of these subordination results are discussed. Relevant connections of some of the new results obtained in this paper with those in earlier works are also provided. © 2011 Elsevier Ltd. All rights reserved.

On meromorphically multivalent functions defined by multiplier transformation

The purpose of this paper is to derive various useful subordination properties and characteristics for certain subclass of multivalent meromorphic functions, which are defined here by the multiplier transformation. Also, we obtained inclusion relationship for this subclass.

On Some Analytic Functions Defined by a Multiplier Transformation

A Class of Univalent Harmonic Functions Defined by Multiplier Transformation

A continuous function f(x+ iy) = u(x, y) + iv(x, y) defined in a domain D ⊂ C (Complex plane) is harmonic in D if u and v are real harmonic in D. Clunie and Shiel-Small [3] showed that in a simply connected domain such functions can be written in the form f = h+g, where both h and g are analytic. We call h the analytic part and g, the co-analytic part of f . Let w(z) = g ′(z) h′(z) be the dilat...

on meromorphically multivalent functions defined by multiplier transformation

the purpose of this paper is to derive various useful subordination properties and characteristics for certain subclass of multivalent meromorphic functions, which are defined here by the multiplier transformation. also, we obtained inclusion relationship for this subclass.