Abstract.
We introduce a class of Schur type functions associated with polynomial sequences of binomial type. This can be regarded as a generalization of the ordinary Schur functions and the factorial Schur functions. This generalization satisfies some interesting expansion formulas, in which there is a curious duality. Moreover, this class includes examples which are useful to describe the eigenvalues of Capelli type central elements of the universal enveloping algebras of classical Lie algebras.
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Itoh, M. Schur type functions associated with polynomial sequences of binomial type. Sel. math., New ser. 14, 247–274 (2009). https://doi.org/10.1007/s00029-008-0061-0
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DOI: https://doi.org/10.1007/s00029-008-0061-0