Spectral Theory of Singular Hahn Difference Equation of the Sturm-Liouville Type Page 1
Communications in Mathematics 28 (2020) 13–25 DOI: 10.2478/cm-2020-0002 c 2020 Bilender …

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 aq-analogue of the …

We introduce a new family of special functions, namely $ q $-Charlier multiple orthogonal
polynomials. These polynomials are orthogonal with respect to $ q $-analogues of Poisson …

We consider two families of type II multiple orthogonal polynomials. Each family has
orthogonality conditions with respect to a discrete vector measure. The r components of …

In this paper, we give a characterization of some classical q-orthogonal polynomials in terms
of a difference property of the associated Stieltjes function, ie this function solves a first-order …

This paper studies a new family of Angelesco multiple orthogonal polynomials with shared
orthogonality conditions with respect to a system of weight functions, which are complex …

In this work, we consider the Hahn-Sturm-Liouville boundary value problem defined by
(Ly)\left (x\right):= 1 r\left (x\right)\left-q^-1 D_-ω q^-1, q^-1 (p\left (x\right) D_ ω, qy\left …

A high-order linear q-difference equation with polynomial coefficients having q-Hahn
multiple orthogonal polynomials as eigenfunctions is given. The order of the equation …

In this paper, we study the spectrum of Hahn-Sturm-Liouville operators. In this context, it is
shown that the regular symmetric Hahn-Sturm-Liouville operator is semi-bounded from …

Multiple big -Jacobi polynomials Page 1 Bulletin of Mathematical Sciences Vol. 10, No. 2 (2020)
2050013 (18 pages) c The Author(s) DOI: 10.1142/S1664360720500137 Multiple big q-Jacobi …