Matematičeskie zametki, Tome 7 (1970) no. 3, pp. 299-306
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N. I. Nagnibida. Completeness in analytic spaces of subsequences of Laguerre and Jacobi polynomials. Matematičeskie zametki, Tome 7 (1970) no. 3, pp. 299-306. http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a5/
@article{MZM_1970_7_3_a5,
author = {N. I. Nagnibida},
title = {Completeness in analytic spaces of subsequences of {Laguerre} and {Jacobi} polynomials},
journal = {Matemati\v{c}eskie zametki},
pages = {299--306},
year = {1970},
volume = {7},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a5/}
}
TY - JOUR
AU - N. I. Nagnibida
TI - Completeness in analytic spaces of subsequences of Laguerre and Jacobi polynomials
JO - Matematičeskie zametki
PY - 1970
SP - 299
EP - 306
VL - 7
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a5/
LA - ru
ID - MZM_1970_7_3_a5
ER -
%0 Journal Article
%A N. I. Nagnibida
%T Completeness in analytic spaces of subsequences of Laguerre and Jacobi polynomials
%J Matematičeskie zametki
%D 1970
%P 299-306
%V 7
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a5/
%G ru
%F MZM_1970_7_3_a5
In the space $\mathfrak{U}_R$ of all single-valued functions analytic in the circle $|z| ($0), with compact convergence topology, some new tests are found for the completeness of the system of Laguerre polynomials $\{L_{n_j}^{(\alpha)}(z)\}$. An analogous question is considered also in one special analytic space for the Jacobi polynomials.
