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Shifted jack polynomials, binomial formula, and applications

Andreĭ Okounkov, Grigori Olshanski

Mathematical Research Letters · 1997 · 159 citations · 14 references

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Abstract

In this note we prove an explicit binomial formula for Jack polynomials and discuss some applications of it.

References

14

Some combinatorial properties of Jack symmetric functions

Richard P. Stanley · Advances in Mathematics · 1989 · 612 citations

, , +6

The dunkl transform

Marcel de Jeu · Inventiones mathematicae · 1993 · 490 citations

Asymptotic theory of characters of the symmetric group

A. M. Vershik, S. V. Kerov · Functional Analysis and Its Applications · 1981 · 256 citations

, , +8

Selberg Integrals and Hypergeometric Functions Associated with Jack Polynomials

Jyoichi Kaneko · SIAM Journal on Mathematical Analysis · 1993 · 240 citations

, , +2

Shifted Schur Functions

Andreĭ Okounkov, Grigori Olshanski · ArXiv.org · 1996 · 216 citations · Full text

, , +11