2010; Physical and Mathematical Sciences, 44(1 (221): 3–8
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WEIERSTRASS AND BLASCHKE TYPE FUNCTIONS

Gagik Mikaelyan*

Received: 2025-02-27 · Published: 2010-01-26

© 2010 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
WEIERSTRASS AND BLASCHKE TYPE FUNCTIONS
Author
Gagik Mikaelyan
Published
2010-01-26
Licence
Creative Commons Attribution 4.0 International

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.
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