On a Certain Subclass of Meromorphic Functions Defined by Hilbert Space Operator (original) (raw)

A New Subclass of Meromorphic Functions Defined by Hilbert Space Operator

Honam Mathematical Journal, 2016

In this paper, we introduce and investigate a new subclass of meromorphic functions associated with a certain integral operator on Hilbert space. For this class,we obtain several properties like the coefficient inequality, extreme points, radii of close-toconvexity, starlikeness and meromorphically convexity and integral transformation. Further, it is shown that this class is closed under convex linear combination.

A study of meromorphically starlike and convex functions

saber.ula.ve

In the present paper we introduce and study certain new subclasses of starlike and convex functions in the domain of meromorphic functions. Moreover we discuss coefficient inequalities, growth and distortion theorems, radii of starlikeness and convexity and convex linear combinations for the functions belonging to the newly introduced. key words. Univalent functions, Starlike functions, Convex functions.

Some basic properties of certain subclasses of meromorphically starlike functions

Journal of Inequalities and Applications, 2014

In this paper, we introduce and investigate certain subclasses of meromorphically starlike functions. Such results as coefficient inequalities, neighborhoods, partial sums, and inclusion relationships are derived. Relevant connections of the results derived here with those in earlier works are also pointed out.

On certain class of meromorphic functions defined by means of a linear operator

2010

The purpose of the present paper is to introduce new class M B(α, λ, q, s, A, B) of meromorphic functions defined by using a meromorphic analogue of the Choi-Saigo-Srivastava operator for the generalized hypergeometric function and investigate a number of inclusion relationships and radius problem of this class.The subordination relations, distortion theorems, and inequality properties are discussed by applying differential subordination method.

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.