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Lacunary Series Expansions and Weighted Hyperbolic Class

American Journal of Mathematical and Computational Sciences
Vol.2 , No. 2, Publication Date: Aug. 25, 2017, Page: 10-18

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Authors

[1]	Alaa Kamal Mohamed, Department of Mathematics, Port Said University, Port Said, Egypt.
[2]	Taha Ibrahim Yassen, Department of Mathematics, Port Said University, Port Said, Egypt.

Abstract

In this article, we obtained results which characterized spaces of hyperbolic function using integral representation of Hadamard gaps are given. Moreover, we obtain a sufficient and necessary condition for the hyperbolic function with Hadamard gaps to belong to on the unite disc .

Keywords

The Hyperbolic Weighted Space, Hadamard Gap, Lacunary Series Expansions

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