  Jacobi polynomials are mapped onto the continuous Hahn polynomials by the
Fourier transform and the orthogonality relations for the continuous Hahn
polynomials then follow from the orthogonality relations for the Jacobi
polynomials and the Parseval formula. In a special case this relation dates
back to work by Bateman in 1933 and we follow a part of the historical
development for these polynomials. Some applications of this relation are
given.
