A ‘missing’ family of classical orthogonal polynomials
Copyright policy ) Alexei Zhedanov; Luc Vinet;
A ‘missing’ family of classical orthogonal polynomials
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 $q=-1$.
20 pages
Mathematics - Classical Analysis and ODEs, 33C45, 33C47, 42C05, Classical Analysis and ODEs (math.CA), FOS: Mathematics
Mathematics - Classical Analysis and ODEs, 33C45, 33C47, 42C05, Classical Analysis and ODEs (math.CA), FOS: Mathematics
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 930
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