5 papers
Bidiagonal matrix factorisations associated with symmetric multiple orthogonal polynomials and lattice paths
Hélder Lima
The central object of study in this paper are infinite banded Hessenberg matrices admitting factorisations as products of bidiagonal matrices. In the two main novel results of this…
Multiple orthogonal polynomials associated with branched continued fractions for ratios of hypergeometric series
Hélder Lima
The main objects of the investigation presented in this paper are branched-continued-fraction representations of ratios of contiguous hypergeometric series and type II multiple ort…
Multiple orthogonal polynomials with respect to Gauss' hypergeometric function
Helder Lima, Ana Loureiro
A new set of multiple orthogonal polynomials of both type I and type II with respect to two weight functions involving Gauss' hypergeometric function on the interval is stu…
Multiple orthogonal polynomials associated with confluent hypergeometric functions
Hélder Lima, Ana Loureiro
We introduce and analyse a new family of multiple orthogonal polynomials of hypergeometric type with respect to two measures supported on the positive real line which can be descri…
On Müntz-type formulas related to the Riemann zeta function
Hélder Lima
The Mellin transform and several Dirichlet series related with the Riemann zeta function are used to deduce some identities similar to the classical Müntz formula [4]. These formul…