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Search Results: 1 - 10 of 4743 matches for " Nak Eun Cho "
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Inclusion Properties for Certain Subclasses of Analytic Functions Defined by a Linear Operator
Nak Eun Cho
Abstract and Applied Analysis , 2008, DOI: 10.1155/2008/246876
Abstract: The purpose of the present paper is to investigate some inclusion properties of certain subclasses of analytic functions associated with a family of linear operators, which are defined by means of the Hadamard product (or convolution). Some integral preserving properties are also considered.
Strong differential subordination properties for analytic functions involving the Komatu integral operator
Nak Eun Cho
Boundary Value Problems , 2013, DOI: 10.1186/1687-2770-2013-44
Abstract: The purpose of the present paper is to investigate some strong differential subordination and superordination implications involving the Komatu integral operator, which are obtained by considering suitable classes of admissible functions. The sandwich-type theorems for these operators are also considered.
On certain classes of p-valent analytic functions
Nak Eun Cho
International Journal of Mathematics and Mathematical Sciences , 1993, DOI: 10.1155/s0161171293000389
Abstract: The objective of the present paper is to introduce a certain general class P(p, ±, 2)(p ¢ N={1,2,3, ¢ € |}, ¢ € ‰0 ¢ ‰ ¤ ± Keywords p-valent analytic function --- Hadamard product --- integral operator --- multiplier transformation --- p-valently convex of order δ.
Inclusion Properties for Certain Classes of Meromorphic Functions Associated with a Family of Linear Operators
Nak Eun Cho
Journal of Inequalities and Applications , 2009, DOI: 10.1155/2009/147069
Abstract: The purpose of the present paper is to investigate some inclusion properties of certain classes of meromorphic 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.
Sufficient conditions for meromorphic starlikeness and close-to-convexity of order
Nak Eun Cho,Shigeyoshi Owa
International Journal of Mathematics and Mathematical Sciences , 2001, DOI: 10.1155/s0161171201004550
Abstract: The object of the present paper is to derive a property of certain meromorphic functions in the punctured unit disk. Our main theorem contains certain sufficient conditions for starlikeness and close-to-convexity of order α of meromorphic functions.
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.
On the Fekete-Szego problem for strongly $ alpha $-quasiconvex functions
Nak Eun Cho,Shigeyoshi Owa
Tamkang Journal of Mathematics , 2003, DOI: 10.5556/j.tkjm.34.2003.21-28
Abstract: The purpose of the present paper is to introduce the classes $ {cal M}_alpha(eta)$ and $ {cal P}_alpha(eta)$, respectively, of normalized strongly $ alpha$-convex and $ alpha$-quasiconvex functions of order $ eta$ in the open unit disk and to obtain sharp Fekete-Szego inequalities for functions belonging to the classes $ {cal M}_alpha(eta)$ and $ {cal P}_alpha(eta)$.
Double Subordination-Preserving Properties for Certain Integral Operators
Nak Eun Cho,Shigeyoshi Owa
Journal of Inequalities and Applications , 2007, DOI: 10.1155/2007/83073
Abstract: The purpose of the present paper is to obtain the sandwich-type theorem which contains the subordination- and superordination-preserving properties for certain integral operators defined on the space of normalized analytic functions in the open unit disk.
A Class of Integral Operators Preserving Subordination and Superordination
Nak Eun Cho,In Hwa Kim
Journal of Inequalities and Applications , 2008, DOI: 10.1155/2008/859105
Abstract: We give some subordination- and superordination-preserving properties of certain nonlinear integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type theorems for these integral operators are also obtained. Moreover, we consider an application of the subordination and superordination theorems to the Gauss hypergeometric function.
Double Subordination-Preserving Properties for Certain Integral Operators
Cho Nak Eun,Owa Shigeyoshi
Journal of Inequalities and Applications , 2007,
Abstract: The purpose of the present paper is to obtain the sandwich-type theorem which contains the subordination- and superordination-preserving properties for certain integral operators defined on the space of normalized analytic functions in the open unit disk.
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