SOME INCLUSION RELATIONSHIPS FOR CERTAIN SUBCLASSES OF p-VALENT MEROMORPHIC FUNCTIONS ASSOCIATED WITH THE GENERALIZED HYPERGEOMETRIC FUNCTION∗
نویسنده
چکیده
In this paper, we investigate several inclusion relationships of certain subclasses of meromorphically p-valent functions which are defined here by means of a linear operator involving the generalized hypergeometric function . We introduce and investigate several new subclasses of p-valent starlike, p-valent convex, p-valent close-to-convex and p-valent quasiconvex meromorphic functions.
منابع مشابه
Inclusion 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 کاملSome subclasses of meromorphically multivalent functions associated with the generalized hypergeometric function
Keywords: Meromorphic functions Multivalent functions Dziok–Srivastava linear operator Hadamard product (or convolution) Subordination between analytic functions Generalized hypergeometric function Symmetric points Conjugate points Symmetric conjugate points a b s t r a c t In the present paper, we introduce and investigate each of the following new subclasses: of meromorphically p-valent funct...
متن کاملInclusion Relationships for Certain Subclasses of Meromorphic Functions Associated with a Family of Multiplier Transformations and Hypegeometric Functions
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.
متن کاملSome Inclusion Properties of Certain Subclasses of P-valent Meromorphic Functions Associated with a New Operator
In this paper we introduce new subclasses of p-valent starlike, pvalent convex, p-valent close-to-convex and p-valent quasi-convex meromorphic functions and investigate some inclusion properties of these subclasses and investigate various inclusion properties and integral-preserving properties for the p-valent meromorphic function classes.
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2015