This article is cited in 2 papers

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

Language: English