On algebraic operations over series of orthogonal functions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 12, pp. 2121-2127
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2004_44_12_a1,
     author = {A. N. Pankratov},
     title = {On algebraic operations over series of orthogonal functions},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2121--2127},
     year = {2004},
     volume = {44},
     number = {12},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_12_a1/}
}
TY  - JOUR
AU  - A. N. Pankratov
TI  - On algebraic operations over series of orthogonal functions
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2004
SP  - 2121
EP  - 2127
VL  - 44
IS  - 12
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_12_a1/
LA  - ru
ID  - ZVMMF_2004_44_12_a1
ER  - 
%0 Journal Article
%A A. N. Pankratov
%T On algebraic operations over series of orthogonal functions
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2004
%P 2121-2127
%V 44
%N 12
%U http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_12_a1/
%G ru
%F ZVMMF_2004_44_12_a1
A. N. Pankratov. On algebraic operations over series of orthogonal functions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 12, pp. 2121-2127. http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_12_a1/

[1] Dedus F. F., Makhortykh S. A., Ustinin M. N., Dedus A. F., Obobschennyi spektralno-analiticheskii metod obrabotki informatsionnykh massivov. Zadachi analiza izobrazhenii i raspoznavaniya obrazov, Mashinostr., M., 1999

[2] Press W. H., Teukolsky S. A., Vetterling W. T., Flannery B. P., Numerical recipes in C: the art scientific computing, 2nd ed., Univ. Press, Cambridge, 1992 | MR

[3] D'Aguanno B., Nobile A., Roman E., “CHPACK: A package for the manipulation of Chebyshev approximations”, Comput. Phys. Communs., 29 (1983), 361–374 | DOI

[4] Khabibrakhmanov I. K., Summers D., “The use of generalized Laguerre polynomials in spectral methods for nonlinear differential equations”, Comput. Math. Applic., 36:2 (1998), 65–70 | DOI | MR | Zbl

[5] Broucke R., “Construction of rational and negative powers of a formal series”, Communs ACM, 14:1 (1971), 32–35 | DOI | Zbl

[6] Broucke R., “A446-Ten subroutines for the manipulation of Chebyshev series”, Communs ACM, 16:4 (1973), 254–256 | DOI

[7] Kurant R., Gilbert D., Metody matematicheskoi fiziki, Gostekhteorizdat, M.–L., 1951

[8] Bakhvalov N. S., Zhidkov N. P., Kobelkov G. M., Chislennye metody, Nauka, M., 1987 | MR | Zbl

[9] Nikiforov A. F., Uvarov V. B., Spetsialnye funktsii matematicheskoi fiziki, Nauka, M., 1984 | MR