On a new class of p-valent functions with negative coefficients defined by convolution

On a new class of p-valent functions with negative coefficients defined by convolution

In this paper, we introduce a new class of analytic p-valent functions defined in the open unit disc by using convolution and obtain some results including coefficient inequality, distortion theorems, Hadamard products, radii of starlikeness and convexity and closure theorems of functions in this cl...

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Veröffentlicht in:Matematiche 2015-05, Vol.70 (1), p.21-38
Hauptverfasser: M. K. Aouf, A. O. Mostafa, A. Y. Lashin, B. M. Munassar
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
closure theorem
coefficient inequality
distortion theorem
Hadamard product
p-valent functions
radii of starlikeness and convexity
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Zusammenfassung:In this paper, we introduce a new class of analytic p-valent functions defined in the open unit disc by using convolution and obtain some results including coefficient inequality, distortion theorems, Hadamard products, radii of starlikeness and convexity and closure theorems of functions in this class.
ISSN:0373-3505
2037-5298
DOI:10.4418/2015.70.1.2