Some properties of a subclass of uniformly convex functions with negative coefficients

• Autorzy: Aouf M. , Mostafa A.
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to obtain coefficient estimates, distortion theorem, extreme points and radii of close - to - convexity, starlikeness and convexity for functions belonging to the subclass TSlambda (n,alpha, beta) of uniformly convex functions with negative coefficients. We also derive many results for the modified Hadamard products of functions belonging to the class TSlambda(n,alpha, beta), and obtain several interesting distortion theorems for certain fractional operators of functions in this class. Finally, we consider integral operators associated with functions in this class.

Słowa kluczowe

EN

analytical functions; convex functions; starlike functions; Hadamard products

PL

funkcje analityczne; funkcje wypukłe; funkcje gwiaździste; iloczyny Hadamarda

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 2
• Strony: 353--370
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Aouf M.

autor

Mostafa A.

• Department of Mathematics Faculty of Science Mansoura University, Mansoura 35516, Egypt,

Bibliografia

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