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Symmetric q-Dunkl-Coherent Pairs

  • Jihad Souissi,
  • Mohamed Khalfallah

摘要

In this work, we introduce the notion of a q-Dunkl-coherent pair of linear functionals in the symmetric case. We prove that if (u, v) is a q-Dunkl-symmetrically coherent pair of form, then at least one of them must be a q-Dunkl-classical form. Examples related to the \(q^2\) q 2 -analog of generalized Hermite and the \(q^2\) q 2 -analog of generalized Gegenbauer forms are given.