Henry Jack

For the Irish agriculturalist, see Henry Walter Jack.

Henry Jack
Born6 July 1917
Died5 January 1978(1978-01-05) (aged 60)
NationalityScottish
Known forJack function
Scientific career
FieldsMathematics

Henry Jack FRSE (6 July 1917 – 5 January 1978) was a Scottish mathematician at University College Dundee.[1] The Jack polynomials are named after him. His research dealt with the development of analytic methods to evaluate certain integrals over matrix spaces. His most famous paper relates his integrals to classes of symmetric polynomials important in the theory of the representation of the symmetric group. He discovered a new, natural basis for the symmetric polynomials.[2][3]

  1. ^ Sands, Arthur D. (1979). "Obituary for Henry Jack". Proc. Edin. Math. Soc. Series 2. 22: 61–62. doi:10.1017/S0013091500027814.
  2. ^ Jack, H. (1970). "A class of symmetric polynomials with a parameter". Proc. R. Soc. Edin. Sect. A. 69: 1–18.
  3. ^ Kuznetsov, V. B.; Sahi, S. (2006). Jack, Hall-Littlewood, and Macdonald polynomials. American Mathematical Soc. ISBN 0-8218-3683-8.