Geodesic
Theorem on conversing the complex variable function to zero
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2009), pp. 35-40 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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 
@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},
     year = {2009},
     number = {2},
     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
UR  - http://geodesic.mathdoc.fr/item/VTGU_2009_2_a3/
LA  - ru
ID  - VTGU_2009_2_a3
ER  - 
%0 Journal Article
%A Yu. A. Nesmeev
%T Theorem on conversing the complex variable function to zero
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2009
%P 35-40
%N 2
%U http://geodesic.mathdoc.fr/item/VTGU_2009_2_a3/
%G ru
%F VTGU_2009_2_a3
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/

[1] Spravochnik po spetsialnym funktsiyam s formulami, grafikami i matematicheskimi tablitsami, ed. M. Abramovits i I. Stigan, Nauka, M., 1979, 832 pp. | MR

[2] Korotkov N.E., Integraly dlya prilozhenii integrala veroyatnostei, Izd-vo FGUP «VNIIS», Voronezh, 2002, 800 pp.

[3] Salzer H.E., “Complex zeros of the error function”, J. Franklin Inst., 260 (1955), 209–211 | DOI | MR

[4] Kronrod A.S., Uzly i vesa kvadraturnykh formul (shestnadtsatiznachnye tablitsy), Nauka, M., 1964, 144 pp. | MR

[5] Handbook of mathematical functions with formulas, graphs and mathematical tables, National bureau of standards, Applied mathematics, 55, ed. Milton Abramowitz and Irene A. Stegun, Issued June 1964

[6] Rukovodstvo po programmirovaniyu pod upravleniem MS DOS, Radio i svyaz, M., 1995, 544 pp.