Hypergeometric systems of Gelfand-type equations and series in orthogonal polynomials
In this article is given a new example of \((\nabla,D)\)-hypergeometric systems (i.e. the pairs of differential operators \((\nabla_ i,D_ i)\) satisfying \([\nabla_ i,D_ i]=\nabla_ i)\) of which the notion was given by the authors in their former works. The new example is introduced as deformations of \((d/dt,td/dt)\) and has classical orthogonal polynomials as solutions. Difference and \(q\)-derivative analogue are also considered.
scientific article; zbMATH DE number 431347