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Some inclusion relationships for certain subclasses of meromorphic functions associated with a family of integral operators
C. Selvaraj and K. R. Karthikeyan
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE , 2009,
Abstract: . We define a family of integral operators using multiplier transformation on the space of normalized meromorphic functions and introduce several new subclasses using this operator. We investigate various inclusion relations for these subclasses and some interesting applications involving a certain class of integral operator are also considered.
Some inclusion relationships for certain subclasses of meromorphic functions associated with a family of integral operators  [PDF]
C. Selvaraj,K. R. Karthikeyan
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE , 2009,
Abstract: We define a family of integral operators using multiplier transformation on the space of normalized meromorphic functions and introduce several new subclasses using this operator. We investigate various inclusion relations for these subclasses and some interesting applications involving a certain class of integral operator are also considered.
Coefficient Bounds for Certain Classes of Meromorphic Functions
Silverman H,Suchithra K,Stephen BAdolf,Gangadharan A
Journal of Inequalities and Applications , 2008,
Abstract: Sharp bounds for are derived for certain classes and of meromorphic functions defined on the punctured open unit disk for which and , respectively, lie in a region starlike with respect to 1 and symmetric with respect to the real axis. Also, certain applications of the main results for a class of functions defined through Ruscheweyh derivatives are obtained.
On Certain Classes of Meromorphic Functions Associated with Conic Domains
Khalida Inayat Noor,Fiaz Amber
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/801601
Abstract: Making use of the concept of k-uniformly bounded boundary rotation and Ruscheweyh differential operator, we introduce some new classes of meromorphic functions in the punctured unit disc. Convolution technique and principle of subordination are used to investigate these classes. Inclusion results, generalized Bernardi integral operator, and rate of growth of coefficients are studied. Some interesting consequences are also derived from the main results.
Partial sums for certain classes of meromorphic functions  [cached]
Rabha W. Ibrahim,Maslina Darus
Tamkang Journal of Mathematics , 2010, DOI: 10.5556/j.tkjm.41.2010.39-49
Abstract: In this paper, we define and study new classes of meromorphic functions in the punctured disk by using their partial sums.
Coefficient Bounds for Certain Classes of Meromorphic Functions
H. Silverman,K. Suchithra,B. Adolf Stephen,A. Gangadharan
Journal of Inequalities and Applications , 2009, DOI: 10.1155/2008/931981
Abstract: Sharp bounds for |a1 ¢ ’ a02| are derived for certain classes £ ¢ —( ) and £ ± ¢ —( ) of meromorphic functions f(z) defined on the punctured open unit disk for which ¢ ’zf ¢ € 2(z)/f(z) and ( ¢ ’(1 ¢ ’2 ±)zf ¢ € 2(z)+ ±z2f ¢ € 3(z))/((1 ¢ ’ ±)f(z) ¢ ’ ±zf ¢ € 2(z)) ¢ € ‰ ¢ € ‰( ± ¢ ¢ ¢ ’(0,1]; ¢ € ‰ ¢ ( ±) ¢ ‰ ¥0), respectively, lie in a region starlike with respect to 1 and symmetric with respect to the real axis. Also, certain applications of the main results for a class of functions defined through Ruscheweyh derivatives are obtained.
Inclusion relationships for certain classes of analytic func- tions involving the Choi-Saigo-Srivastava operator
Nak Eun Cho and Min Yoon
Journal of Inequalities and Applications , 2013, DOI: 10.1186/1029-242X-2013-83
Abstract: The purpose of the present paper is to investigate some inclusion properties of certain classes of analytic functions associated with a family of linear operators, which are defined by means of the Hadamard product (or convolution). Some invariant properties under convolution are also considered for the classes presented here. The results presented here include several previous known results as their special cases.
Initial coefficient bounds for certain classes of Meromorphic bi-univalent functions  [PDF]
H. Orhan,N. Magesh,V. K. Balaji
Mathematics , 2013,
Abstract: In this paper we extend the concept of bi-univalent to the class of meromorphic functions. We propose to investigate the coefficient estimates for two classes of meromorphic bi-univalent functions. Also, we find estimates on the coefficients |b0| and |b1| for functions in these new classes. Some interesting remarks and applications of the results presented here are also discussed.
Certain classes of meromorphic $ p $-valent functions with positive coefficients  [cached]
Moa'ath Nasser,Maslina Darus
Tamkang Journal of Mathematics , 2006, DOI: 10.5556/j.tkjm.37.2006.251-260
Abstract: We introduce the new class $ L(alpha,eta,lambda,p) $ of meromorphic p-valent functions. The aim of the paper is to obtain coefficient inequalities, growth and distortion, radii of convexity and starlikeness and the convex linear combinations for the class $ L(alpha,eta,lambda,p) $.
Inclusion and Neighborhood Properties for Certain Classes of Multivalently Analytic Functions  [PDF]
Serap Bulut
Journal of Complex Analysis , 2013, DOI: 10.1155/2013/754598
Abstract: We introduce and investigate two new general subclasses of multivalently analytic functions of complex order by making use of the familiar convolution structure of analytic functions. Among the various results obtained here for each of these function classes, we derive the coefficient inequalities and other interesting properties and characteristics for functions belonging to the classes introduced here. 1. Introduction and Definitions Let be the set of real numbers, let be the set of complex numbers, let be the set of positive integers, and let . Let denote the class of functions of the form which are analytic and -valent in the open unit disk Denote by the Hadamard product (or convolution) of the functions and ; that is, if is given by (1) and is given by then Definition 1. Let the function . Then one says that is in the class if it satisfies the condition where is given by (3), and denotes the falling factorial defined as follows: Various special cases of the class were considered by many earlier researchers on this topic of Geometric Function Theory. For example, reduces to the function class(i) for , and , studied by Mostafa and Aouf [1];(ii)for and , studied by Srivastava et al. [2];(iii) for , and , studied by Prajapat et al. [3];(iv) for , and , studied by Srivastava and Bulut [4];(v)for , , , and , studied by Ali et al. [5]. Definition 2. Let the function . Then one says that is in the class if it satisfies the condition where and are defined by (3) and (6), respectively. Setting , in Definition 2, we have the special class (which generalizes the class defined by Prajapat et al. [3]) introduced by Srivastava et al. [2]. Following a recent investigation by Frasin and Darus [6], if and , then we define the -neighborhood of the function by It follows from the definition (9) that if then The main object of this paper is to investigate the various properties and characteristics of functions belonging to the above-defined classes Apart from deriving coefficient bounds and coefficient inequalities for each of these classes, we establish several inclusion relationships involving the -neighborhoods of functions belonging to the general classes which are introduced above. 2. Coefficient Bounds and Coefficient Inequalities We begin by proving a necessary and sufficient condition for the function to be in each of the classes Theorem 3. Let the function be given by (1). Then is in the class if and only if where Proof. We first suppose that the function given by (1) is in the class . Then, in view of (3)–(6), we have or equivalently If we choose to be real
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