A formula of the summing for Chebyshevs’ polynomial and it’s application
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2009), pp. 5-13 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The proof of formula of the summing for Chebyshevs’ polynomials of the second kind is given and it’s application to research of the Branges functions.
Keywords: Branges functions, Chebyshevs’ polynoms of the second kind.
@article{VTGU_2009_2_a0,
     author = {I. A. Aleksandrov and G. A. Yuferova},
     title = {A~formula of the summing for {Chebyshevs{\textquoteright}} polynomial and it{\textquoteright}s application},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {5--13},
     year = {2009},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2009_2_a0/}
}
TY  - JOUR
AU  - I. A. Aleksandrov
AU  - G. A. Yuferova
TI  - A formula of the summing for Chebyshevs’ polynomial and it’s application
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2009
SP  - 5
EP  - 13
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VTGU_2009_2_a0/
LA  - ru
ID  - VTGU_2009_2_a0
ER  - 
%0 Journal Article
%A I. A. Aleksandrov
%A G. A. Yuferova
%T A formula of the summing for Chebyshevs’ polynomial and it’s application
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2009
%P 5-13
%N 2
%U http://geodesic.mathdoc.fr/item/VTGU_2009_2_a0/
%G ru
%F VTGU_2009_2_a0
I. A. Aleksandrov; G. A. Yuferova. A formula of the summing for Chebyshevs’ polynomial and it’s application. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2009), pp. 5-13. http://geodesic.mathdoc.fr/item/VTGU_2009_2_a0/

[1] Aleksandrov I.A., Metody geometricheskoi teorii analiticheskikh funktsii, Tomskii gosuniversitet, Tomsk, 2001, 220 pp.

[2] Aleksandrov I.A., Yuferova G.A., “K dokazatelstvu neravenstva Biberbakha”, Vestnik TGU, 2007, no. 297, aprel, 141–145

[3] Gradshtein I.S., Ryzhik I.M., Tablitsy integralov summ, ryadov i proizvedenii, Izd-vo fiziko-matematicheskoi literatury, M., 1951, 446 pp. | MR

[4] Wolfram Koef, Dieter Schmersau Weinstain's functions and the Askey – Gasper identity, , Data obrascheniya 28.02.96 http://www.opus.kobv.de/zib/volltexte/1996/217/ps/SC-96-06.ps

[5] Uitteker E.T., Vatson G.N., Kurs sovremennogo analiza, ch. 2, GTTI, M.–L., 1934