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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2010, Issue 1, Pages 3–8
(Mi uzeru196)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
Weierstrass and Blaschke type functions
G. V. Mikaelyan, Z. S. Mikaelyan Chair of Theory of Functions YSU, Armenia
Abstract:
In the present paper the Weierstrass multipliers are generalized and the theorem of convergence of corresponding infinite products is proved. Representations of Blaschke type functions are established through Weierstrass type functions and Blaschke function. A way construction of new Blaschke type products is shown, and a method of proof of their convergence is developed. Some relations between Blaschke type products are established.
Keywords:
infinite products, Weierstrass products, Blaschke and Djrbashyan type products.
Received: 09.09.2009 Accepted: 15.10.2009
Citation:
G. V. Mikaelyan, Z. S. Mikaelyan, “Weierstrass and Blaschke type functions”, Proceedings of the YSU, Physical and Mathematical Sciences, 2010, no. 1, 3–8
Linking options:
https://www.mathnet.ru/eng/uzeru196 https://www.mathnet.ru/eng/uzeru/y2010/i1/p3
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Abstract page: | 69 | Full-text PDF : | 29 | References: | 19 |
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