In mathematics, the Bateman polynomials are a family Fn of orthogonal polynomials introduced by Bateman . The Bateman–Pasternack polynomials are a generalization introduced by . Bateman polynomials can be defined by the relation where Pn is a Legendre polynomial. In terms of generalized hypergeometric functions, they are given by generalized the Bateman polynomials to polynomials Fmn with These generalized polynomials also have a representation in terms of generalized hypergeometric functions, namely