This article is cited in 1 paper

Completeness in analytic spaces of subsequences of Laguerre and Jacobi polynomials

N. I. Nagnibida

Chernovitsk State University

Abstract: In the space $\mathfrak{U}_R$ of all single-valued functions analytic in the circle $|z|<R$ ($0<R\leqslant\infty$), 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.

UDC: 517.5

Received: 24.10.1968

 English version: Mathematical Notes, 1970, 7:3, 182–186

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