Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 4, pp. 1103-1110
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A. L. Lukashov. Generalization of classical orthogonal polynomials to the case of two intervals. Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 4, pp. 1103-1110. http://geodesic.mathdoc.fr/item/FPM_1999_5_4_a7/
@article{FPM_1999_5_4_a7,
author = {A. L. Lukashov},
title = {Generalization of classical orthogonal polynomials to the~case of two intervals},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {1103--1110},
year = {1999},
volume = {5},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1999_5_4_a7/}
}
TY - JOUR
AU - A. L. Lukashov
TI - Generalization of classical orthogonal polynomials to the case of two intervals
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1999
SP - 1103
EP - 1110
VL - 5
IS - 4
UR - http://geodesic.mathdoc.fr/item/FPM_1999_5_4_a7/
LA - ru
ID - FPM_1999_5_4_a7
ER -
%0 Journal Article
%A A. L. Lukashov
%T Generalization of classical orthogonal polynomials to the case of two intervals
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1999
%P 1103-1110
%V 5
%N 4
%U http://geodesic.mathdoc.fr/item/FPM_1999_5_4_a7/
%G ru
%F FPM_1999_5_4_a7
We have found polynomials which may be considered as generalizations of classical orthogonal polynomials to the case of two intervals. Namely, for some $n$ they have properties of classical Jacobi, Laguerre and Hermite polynomials (orthogonality of derivatives, solution of differential equations of second order).
