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math-ph2004
Systems of orthogonal polynomials defined by hypergeometric type equations
Nicolae Cotfas
A hypergeometric type equation satisfying certain conditions defines either a finite or an infinite system of orthogonal polynomials. We present in a unified and explicit way all t…
math-ph2004★ 4 cited
Discrete quasiperiodic sets with predefined local structure
Nicolae Cotfas
Model sets play a fundamental role in structure analysis of quasicrystals. The diffraction diagram of a quasicrystal admits as symmetry group a finite group G, and there is a G-clu…
math-ph2004
On the self-similarities of the Penrose tiling
Nicolae Cotfas
We show that the well known two-dimensional Penrose tiling admits an infinite number of independent scaling factors and an infinite number of inflation centers.