Geodesic
Completeness in analytic spaces of subsequences of Laguerre and Jacobi polynomials
Matematičeskie zametki, Tome 7 (1970) no. 3, pp. 299-306.

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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. 
@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},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_3_a5/}
}
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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/