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
Noureldin, A., Karamat, T. B., & Georgy, J. (2013). Basic Navigational Mathematics, Reference Frames and the Earth’s Geometry. In Fundamentals of Inertial Navigation, Satellite-based Positioning and their Integration (pp. 21–63). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-30466-8_2
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