Abstract: The discrete Laguerre functions $L_n^a (n\in\Bbb N)$ forms an orthonormal system on the unite circle $\Bbb T$ and the finite set of functions $L_n^a (n=0,1,\cdots, N-1)$ is orthonormal with respect to a discrete scalar product defined by the discrete subset $\Bbb T_N^a$ of $\Bbb T$. It is showed that the set $\Bbb T_N^a$ can be interpreted as a solution of an electrostatic equilibrium problem.
Keywords: Discrete Laguerre system, discrete orthogonal systems, electrostatic equilibrium.
Classification (MSC2000): 42C05; 33C52
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