MATHEMATICS

Theorem on conversing the complex variable function to zero

Yu. A. Nesmeev

Magnitogorsk State Technical University

Abstract: 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.

Keywords: existence, uniqueness, zero, function, complex variable, probabilities integral, quadrature formula.

UDC: 517.53; 517.582; 519.6


Accepted: May 20, 2009