James Arthur Wilson is a mathematician working on

special functions Special functions are particular mathematical functions that have more or less established names and notations due to their importance in mathematical analysis, functional analysis, geometry, physics, or other applications. The term is defined by ...

and

orthogonal polynomials In mathematics, an orthogonal polynomial sequence is a family of polynomials such that any two different polynomials in the sequence are orthogonality, orthogonal to each other under some inner product. The most widely used orthogonal polynomial ...

who introduced

Wilson polynomials In mathematics, Wilson polynomials are a family of orthogonal polynomials introduced by that generalize Jacobi polynomials, Hahn polynomials, and Charlier polynomials. They are defined in terms of the generalized hypergeometric function and the ...

Askey–Wilson polynomials In mathematics, the Askey–Wilson polynomials (or ''q''-Wilson polynomials) are a family of orthogonal polynomials introduced by as q-analogs of the Wilson polynomials. They include many of the other orthogonal polynomials in 1 variable as special ...

and the Askey–Wilson beta integral.

References

Home page of James A. Wilson
* Year of birth missing (living people) Living people 21st-century American mathematicians Place of birth missing (living people) University of Wisconsin–Madison alumni Iowa State University faculty {{US-mathematician-stub