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Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 17, No. 2, pp. 117-120 (2001)
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Discrete Laguerre functions and equilibrium conditions

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Ferenc Schipp

Department of Numerical Analysis, Eötvös L. University; Computer and Automation Research Institute of HAS, University of Pécs, Pázmány Péter sétány I/D, H-1117 Budapest, HUNGARY schipp@ludens.elte.hu

**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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