Inclusion Relationships for Certain Subclasses of Meromorphic Functions Associated with a Family of Multiplier Transformations and Hypegeometric Functions
نویسنده
چکیده
The purpose of the present article is to introduce several new subclasses of meromorphic functions defined by using the multiplier transformation and hypergeometric function and investigate various inclusion relationships for these subclasses. Some interesting applications involving a certain class of hypergeometric functions are also considered. 2000 Mathematics Subject Classification: 30C45.
منابع مشابه
Some properties of extended multiplier transformations to the classes of meromorphic multivalent functions
In this paper, we introduce new classes $sum_{k,p,n}(alpha ,m,lambda ,l,rho )$ and $mathcal{T}_{k,p,n}(alpha ,m,lambda ,l,rho )$ of p-valent meromorphic functions defined by using the extended multiplier transformation operator. We use a strong convolution technique and derive inclusion results. A radius problem and some other interesting properties of these classes are discussed.
متن کاملSome Inclusion Relationships for Certain Subclasses of Meromorphic Functions Associated with a Family of Integral Operators
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 the integral operator are also considered.
متن کاملSome properties and results for certain subclasses of starlike and convex functions
In the present paper, we introduce and investigate some properties of two subclasses $ Lambda_{n}( lambda , beta ) $ and $ Lambda_{n}^{+}( lambda , beta ) $; meromorphic and starlike functions of order $ beta $. In particular, several inclusion relations, coefficient estimates, distortion theorems and covering theorems are proven here for each of these function classes.
متن کاملOn 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.
متن کاملCertain subclass of $p$-valent meromorphic Bazilevi'{c} functions defined by fractional $q$-calculus operators
The aim of the present paper is to introduce and investigate a new subclass of Bazilevi'{c} functions in the punctured unit disk $mathcal{U}^*$ which have been described through using of the well-known fractional $q$-calculus operators, Hadamard product and a linear operator. In addition, we obtain some sufficient conditions for the func...
متن کامل