A certain subclass of analytic p-valent functions with negative coefficients

• Autorzy: Aouf M. , Hossen H. , Srivastava H.
• Języki publikacji: EN

Abstrakty

EN

The object of the present paper is to derive several sharp results for the modified Hadamard products (or convolution) of functions belonging to a certain subclass Gp (lambda,alfa) of analytic and p-valent functions with negative coefficients, which is related rather closely to a class Fp (lambda,alfa) studied earlier by Lee et al. [4] . Distortion theorems for the fractional calculus (that is, fractional integral and fractional derivative) of functions in the class Gp (lambda,alfa) are obtained. This paper is essentially a sequel to the work of Aouf [3] who introduced, and derived some basic properties of, the class Gp(lambda,alfa).

Słowa kluczowe

EN

analytic functions; multivalent functions; Hadamard product (or convolution); Cauchy-Schwarz inequality; fractional calculus; distortion properties

PL

właściwości odkształceń; zdarzenia pewne podklass; analityczne p-walencyjne funkcje; ujemne współczynniki

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 1998
• Tom: Vol. 31, nr 3
• Strony: 595--608
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Aouf M.

autor

Hossen H.

autor

Srivastava H.