Weierstrass and Blaschke type functions
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2010), pp. 3-8
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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.
@article{UZERU_2010_1_a0,
author = {G. V. Mikaelyan and Z. S. Mikaelyan},
title = {Weierstrass and {Blaschke} type functions},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {3--8},
publisher = {mathdoc},
number = {1},
year = {2010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UZERU_2010_1_a0/}
}
TY - JOUR AU - G. V. Mikaelyan AU - Z. S. Mikaelyan TI - Weierstrass and Blaschke type functions JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 2010 SP - 3 EP - 8 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/UZERU_2010_1_a0/ LA - en ID - UZERU_2010_1_a0 ER -
G. V. Mikaelyan; Z. S. Mikaelyan. Weierstrass and Blaschke type functions. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2010), pp. 3-8. http://geodesic.mathdoc.fr/item/UZERU_2010_1_a0/