Inclusion Properties of Certain Classes of Meromorphic Spiral-like Functions of Complex Order Assoicated with the Generalized Hypergeometric Function (communicated by Shigeyoshi Owa)
نویسنده
چکیده
The purpose of the present paper is to introduce new classes of meromorphic spiral-like functions de ned by using a meromorphic analogue of the Choi-Saigo-Srivastava operator for the generalized hypergeometric function and investigate a number of inclusion relationships of these classes.
منابع مشابه
On 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 کاملInclusion properties of certain classes of meromorphic functions associated with the generalized hypergeometric function
Let Σp denote the class of functions normalized by f(z) = z−p + ∞ ∑ n=1 anz n−p (p ∈ N), which are analytic and p-valent in 0 < |z| < 1. Making use of a linear operator, which is defined here by the generalized hypergeometric function, we introduce some new subclasses of the meromorphically p-valent function class Σp and investigate their inclusion relationships. Mathematics Subject Classificat...
متن کاملOn Certain Subclasses of Meromorphic Univalent Functions by Khalida Inayat Noor and Ali Muhammad
In this paper, we introduce new classes, MBk(α, λ, q, s, ρ) and MTk(α, λ, q, s, ρ) of meromorphic functions defined by using a meromorphic analougue of the Choi-Saigo-Srivastava operator for the generalized hypergeometric function and investigate a number of inclusion relationships of these classes. We also derive some interesting properties of these classes, which also includes radius problem ...
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 کاملSUFFICIENT CONDITIONS FOR MEROMORPHIC STARLIKENESS AND CLOSE-TO-CONVEXITY OF ORDER α NAK EUN CHO and SHIGEYOSHI OWA
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. 2000 Mathematics Subject Classification. 30C45.
متن کامل