On p - valent functions with negative and missing coefficients
نویسندگان
چکیده
منابع مشابه
Certain Subclasses of Analytic p-valent Functions with Negative Coefficients
Abstract. The object of the present paper is to study certain subclasses J∗ p (a, b, σ) and Cp(a, b, σ) of analytic p-valent functions, and obtain coefficient bounds and distortion properties for functions belonging to these subclasses. Further results include distortion inequalities and radii of close-toconvexity, starlikeness and convexity for these classes of functions.
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We introduce two subclasses T ∗(p, α, j) and C(p, α, j) (0 ≤ α < p − j + 1, 1 ≤ j ≤ p, p ∈ N = {1, 2, . . .}) of p-valent starlike and p-valent convex functions with negative coefficents. In this paper we obtain coefficient inequalities, distortion theorems, extreme points and integral operators for functions belonging to the classes T ∗(p, α, j) and C(p, α, j). We also determine the radii of c...
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We introduce the subclass TΩ(n, p, λ, α, β) of analytic functions with negative coefficients defined by salagean operators D. In this paper we give some properties of functions in the class TΩ(n, p, λ, α, β) and obtain numerous sharp results including coefficient estimates, distortion theorems, closure theorems and modified Hadamard products of several functions belonging to the class TΩ(n, p, ...
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In this paper, we introduce the class Ao (p,A,B, α ) of p-valent functions in the unit disc U = { z : | z | < 1 }. We obtain coefficient estimate, distortion and closure theorems, radii of close-to convexity, starlikeness and convexity of order δ ( 0 6 δ < 1 ) for this class. We also obtain class preserving integral operators for this class. Furthermore, various distortion inequalities for frac...
متن کاملOn Certain Subclass of Meromorphic p-valent Functions with Negative Coefficients
We introduce a class Σ∗λ,p,α of meromorphic p-valent functions with negative coefficients. The main object of this paper is to investigate various important properties and characteristics of this class. Further many interesting results for the Hadamard product of functions belonging to the class Σ∗λ,p,α is obtained. 2000 Mathematics Subject Classification: 30C45.
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ژورنال
عنوان ژورنال: Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics
سال: 1995
ISSN: 1303-5991
DOI: 10.1501/commua1_0000000452