Henry Jack

From Wikipedia, the free encyclopedia
Jump to: navigation, search
Henry Jack
Born 6 July 1917
Died 5 January 1978(1978-01-05) (aged 60)
Nationality Scottish
Fields Mathematics
Known for Jack function

Henry Jack (1917 – 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. Roy. Soc. Edin. Sect. A. 69: 1–18. 
  3. ^ Kuznetsov, V. B.; Sahi, S. Jack, Hall-Littlewood, and Macdonald polynomials. ISBN 0-8218-3683-8.