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Powers of staircase Schur functions and symmetric analogues of Bessel polynomials

✍ Scribed by Bernard Leclerc

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
647 KB
Volume
153
Category
Article
ISSN
0012-365X

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✦ Synopsis

We present several identities involving staircase Schur functions. These identities are then interpreted in terms of a sequence of orthogonal polynomials in one variable x, with coefficients in the ring of symmetric functions. By an appropriate specialization these polynomials reduce to Bessel polynomials. This leads to a new determinantal expression for Bessel polynomials and suggests that their combinatorics might be linked to Young tableaux or shifted Young tableaux.

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