منابع مشابه
A New Class of Analytic p-Valent Functions with Negative Coefficients and Fractional Calculus Operators
In this paper we define a new class of functions which are analytic and p-valent with negative coefficients, by using fractional differ-integral operators studied recently by authors. Characterization, distortion theorems and other interesting properties of this class of functions are studied. Some special cases of main results are also pointed out.
متن کاملON A CERTAIN CLASS OF p−VALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS
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 کاملCertain 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.
متن کاملSOME FAMILIES OF p-VALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS
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...
متن کاملOn a subclass of certain p-valent starlike functions with negative coefficients
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, ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Contemporary Mathematical Sciences
سال: 2006
ISSN: 1314-7544
DOI: 10.12988/ijcms.2006.06009