Multiple q-Kravchuk polynomials Articles uri icon

publication date

  • May 2021

start page

  • 361

end page

  • 376


  • 5-8


  • 32

International Standard Serial Number (ISSN)

  • 1065-2469

Electronic International Standard Serial Number (EISSN)

  • 1476-8291


  • We study a family of type II multiple orthogonal polynomials. We consider orthogonality conditions with respect to a vector measure, in which each component is a q-analogue of the binomial distribution. The lowering and raising operators as well as the Rodrigues formula for these polynomials are obtained. The difference equation of order r + 1 is studied. The connection via limit relation between four types of Kravchuk polynomials is discussed.


  • Mathematics


  • hermite-padé approximation; multiple orthogonal polynomials; discrete orthogonality; difference equations