Some subclasses of meromorphic functions (original) (raw)

A Study of Distortion Theorem and Inclusion Relations for a new class of Meromorphic Functions

IOSR Journals , 2019

By having used of differential subordination, it has been investigated in the present paper, subordination relations, inclusion relations, distortion theorem and inequality properties are discussed of the class𝕄𝔹(𝜶, 𝝀, 𝓵,𝝁, 𝜜, 𝜝). In this paper it has been introduced some new classes 𝕄𝔹(𝜶, 𝝀, 𝓵, 𝝁, 𝜜, 𝜝) of meromorphic functions which are defined by means a meromorphic function using a new operator.

Some Subclasses of Meromorphic Functions Associated with a Family of Integral Operators

Journal of Inequalities and Applications, 2009

Making use of the principle of subordination between analytic functions and a family of integral operators defined on the space of meromorphic functions, we introduce and investigate some new subclasses of meromorphic functions. Such results as inclusion relationships and integralpreserving properties associated with these subclasses are proved. Several subordination and superordination results involving this family of integral operators are also derived.

Meromorphic functions of one complex variable. A survey

2008

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 1 is very large. There is a comprehensive survey [62] that contains everything that was reviewed on the topic in the Soviet "Referativnyi Zhurnal" in 1953-1970, and a later large survey [67]. More recent surveys [30], [80] and [48] are shorter and have narrower scope. Some books on specific topics in the theory of meromorphic functions published after 1970 are [18], [20], [79], [100], [137], [134], [138], [162]. A survey of the fast developing subject of iteration of meromorphic functions is [7].

A new subclass of meromorphic function with positive and fixed second coefficients

Tamkang Journal of Mathematics, 2013

In this paper we introduce and study a subclass M P (α, λ, c) of meromorphic univalent functions. We obtain coefficient estimates, extreme points, growth and distortion bounds, radii of meromorphically starlikeness and meromorphically convexity for the class M P (α, λ, c) by fixing the second coefficient. Further, it is shown that the class M P (α, λ, c) is closed under convex linear combination.

A new subclass of meromorphic function with positive coefficients

Bull. Math. Anal. …, 2010

In the present investigation, the authors define a new class of meromorphic functions defined in the punctured unit disk Δ * := { ∈ ℂ : 0 < | | < 1}. Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. We also prove a Property using an integral operator and its inverse defined on the new class. 2000 Mathematics Subject Classification. 30C50.

On the Weak Type of Meromorphic Functions

2009

In this paper we introduce the definition of weak type of meromorphic functions and establish its integral representation. We also investigate some growth properties related to the weak type of meromorphic functions. Mathematics Subject Classification: 30D35, 30D30