Henry Jack was a Scottish mathematician at University College Dundee. The Jack polynomials

Jack function

In mathematics, the Jack function, introduced by Henry Jack, is a homogenous, symmetric polynomial which generalizes the Schur and zonal polynomials,and is in turn generalized by the Heckman–Opdam polynomials and Macdonald polynomials.-Definition:...

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.