Proof of a Conjecture of Goulden and Jackson
Canadian journal of mathematics, Tome 49 (1997) no. 5, pp. 883-886

Voir la notice de l'article provenant de la source Cambridge University Press

We prove an integration formula involving Jack polynomials conjectured by I. P. Goulden and D.M. Jackson in connection with enumeration of maps in surfaces.
DOI : 10.4153/CJM-1997-046-6
Mots-clés : 05E05, 43A85, 57M15
Okounkov, Andrei. Proof of a Conjecture of Goulden and Jackson. Canadian journal of mathematics, Tome 49 (1997) no. 5, pp. 883-886. doi: 10.4153/CJM-1997-046-6
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Cherednik, I., Difference Macdonald-Mehta conjecture. Internat. Math. Res. Notices., to appear. Google Scholar

Dunkl, C.F., Hankel transform associated to finite reflection groups. Contemp.Math. 138(1992), 123–138. Google Scholar

Goulden, I.P., Harer, J.L., and Jackson, D.M., The virtual Euler characteristic for the moduli spaces of real and complex algebraic curves. Preprint September 1996. Google Scholar

Goulden, I.P. and Jackson, D.M. Maps in locally orientable surfaces and integrals over real symmetric matrices. Canad. J. Math. (this issue). Google Scholar

Kadell, K., An integral for the product of two Selberg-Jack symmetric polynomials. Compositio Math, (1) 87(1993), 5–43. Google Scholar

Macdonald, I.G., Some conjectures for root systems. SIAM J. Math. Anal., (6) 13(1982), 988–1007. Google Scholar

Macdonald, I.G., Symmetric functions and Hall polynomials. Oxford Math. Monographs, Oxford University Press, New York, 1995. Google Scholar

Okounkov, A. and Olshanski, G., Shifted Jack polynomials, binomial formula, and applications. Math. Res. Letters, 4(1997), 69–78. Google Scholar

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