Wolfdieter Lang 1996 J. Phys. A: Math. Gen. 29 4169 doi:10.1088/0305-4470/29/14/035
Wolfdieter Lang
Show affiliationsThe spectral measure for the two families of orthogonal polynomial systems related to periodic chains with N-particle elementary unit and nearest-neighbour harmonic interaction is computed using two different methods. The interest is in the orthogonal polynomials related to Fibonacci chains in the periodic approximation. The relation of the measure to appropriately defined Green's functions is established.
11B39 Fibonacci and Lucas numbers and polynomials and generalizations
Issue 14 (21 July 1996)
Received 6 June 1995, in final form 30 January 1996
A Corrigendum for this article has been published in 1997 J. Phys. A: Math. Gen. 30 765
Wolfdieter Lang 1996 J. Phys. A: Math. Gen. 29 4169
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