Geodesic
Complement of Jacobi matrix
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 2 (1999) no. 2, pp. 161-170
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The new properties of Jacobi matrix are discussed. The matrix analogs for the differential operator of the hypergeometric type and of the Pearson one are derived on the base of Jacobi matrix properties exclusivly: the conjugate Sturm system is derived from the properties of symmetric Jacobi matrix $T$, as well as the complementary Jacobi matrix $T^c$, for which this conjugate Sturm system is an ordinary Sturm system. 
@article{SJVM_1999_2_2_a4,
     author = {Yu. I. Kuznetsov},
     title = {Complement of {Jacobi} matrix},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {161--170},
     year = {1999},
     volume = {2},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_1999_2_2_a4/}
}
TY  - JOUR
AU  - Yu. I. Kuznetsov
TI  - Complement of Jacobi matrix
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 1999
SP  - 161
EP  - 170
VL  - 2
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SJVM_1999_2_2_a4/
LA  - ru
ID  - SJVM_1999_2_2_a4
ER  - 
%0 Journal Article
%A Yu. I. Kuznetsov
%T Complement of Jacobi matrix
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 1999
%P 161-170
%V 2
%N 2
%U http://geodesic.mathdoc.fr/item/SJVM_1999_2_2_a4/
%G ru
%F SJVM_1999_2_2_a4
Yu. I. Kuznetsov. Complement of Jacobi matrix. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 2 (1999) no. 2, pp. 161-170. http://geodesic.mathdoc.fr/item/SJVM_1999_2_2_a4/

[1] Kuznetsov Yu. I., “Svyaz polozhitelno-opredelennykh matrits i matrits Khessenberga”, Sib. mat. zhurn., 27:2 (1986), 94–100

[2] Ilin V. P., Kuznetsov Yu. I., Algebraicheskie osnovy chislennogo analiza, Nauka, Novosibirsk, 1986 | MR

[3] Nikiforov A. F., Uvarov V. B., Spetsialnye funktsii matematicheskoi fiziki, Nauka, M., 1978 | MR

[4] Suetin P. K., Klassicheskie ortogonalnye mnogochleny, Nauka, M., 1976 | MR