A characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind Academic Article uri icon

abstract

  • 2015 Taylor & Francis. We show that the only orthogonal polynomials with a generating function of the form (Formula presented.) are the ultraspherical, Hermite, and Chebyshev polynomials of the first kind. For special F for which this is the case, we then finish the classification of orthogonal polynomials with more general generating functions (Formula presented.).

published proceedings

  • Integral Transforms and Special Functions

author list (cited authors)

  • Anshelevich, M.

citation count

  • 3

complete list of authors

  • Anshelevich, Michael

publication date

  • April 2016