THE QUASI-HADAMARD PRODUCTS OF CERTAIN p-VALENT FUNCTIONS WITH NEGATIVE 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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The authors establish certain results concerning the quasi-Hadamard product of analytic and p-valent functions with negative coefficients analogous to the results due to Vinod Kumar (J. Math. Anal. Appl. 113(1986), 230-234 and 126(1987), 70-77).
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The purpose of the present paper is to establish some interesting results on the generalizations of quasi-Hadamard product of functions belonging to the classes of p-valent starlike and p-valent convex functions of order α in the open unit disc U. Our results improve the results of previous authors to the case when r and s are any positive real numbers such that s > 1. It is worth noting that t...
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Let T (n, p) denote the class of functions of the form f (z) = z p − ∑ ∞ k=n ak+pz k+p (ak+p ≥ 0; p, n ∈ N ) which are analytic and p-valent in the open unit disc U = {z : |z| < 1}. For functions f j (z) ( j = 1, 2) belonging to T (n, p), generalizations of the modified-Hadamard product of f1(z) and f2(z) represented by ( f1∆ f2) (r, s; z) (r, s ∈ R) are introduced. In this paper, we obtain sev...
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By means of Ruscheweyh derivative operator , we introduced and investigated two new subclasses of p-valent analytic functions.The various results obtained here for each of these function class include coefficient bounds and distortion inequalities, associated inclusion relations for the (n, θ)-neighborhoods of subclasses of analytic and multivalent functions with negative coefficients, which ar...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2007
ISSN: 1015-8634
DOI: 10.4134/bkms.2007.44.4.597