Theorem on conversing the complex variable function to zero
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2009), pp. 35-40
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A theorem is being formulated and used. It proves an existence and uniqueness of a zero function of a complex variable in the inner point of a closed rectangle on a complex plane, and gives an iteration algorithm for approximate evaluation of its components. One of the applications is concerned with an approximate evaluation of zeros of the probabilities integral using quadrature formulas.
Mots-clés :
existence, complex variable, quadrature formula.
Keywords: uniqueness, zero, function, probabilities integral
Keywords: uniqueness, zero, function, probabilities integral
@article{VTGU_2009_2_a3,
author = {Yu. A. Nesmeev},
title = {Theorem on conversing the complex variable function to zero},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {35--40},
publisher = {mathdoc},
number = {2},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2009_2_a3/}
}
TY - JOUR AU - Yu. A. Nesmeev TI - Theorem on conversing the complex variable function to zero JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2009 SP - 35 EP - 40 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTGU_2009_2_a3/ LA - ru ID - VTGU_2009_2_a3 ER -
Yu. A. Nesmeev. Theorem on conversing the complex variable function to zero. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2009), pp. 35-40. http://geodesic.mathdoc.fr/item/VTGU_2009_2_a3/