We study a family of "classical" orthogonal polynomials which satisfy (apart from a 3-term recurrence relation) an eigenvalue problem with a differential operator of Dunkl-type. These polynomials can be obtained from the little $q$-Jacobi polynomials in the limit $q=-1$. We also show that these polynomials provide a nontrivial realization of the Askey-Wilson algebra for $q=-1$.
CITATION STYLE
Gandia, A., Parascho, S., Rust, R., Casas, G., Gramazio, F., & Kohler, M. (2019). Towards Automatic Path Planning for Robotically Assembled Spatial Structures. In Robotic Fabrication in Architecture, Art and Design 2018 (pp. 59–73). Springer International Publishing. https://doi.org/10.1007/978-3-319-92294-2_5
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