1994/07/20 by Ismail, Mourad E. H., Masson, David R.
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics
paper · doi:10.48550/arxiv.math/9407213
The connection between continued fractions and orthogonality which is familiar for J-fractions and T-fractions is extended to what we call R-fractions of type I and II. These continued fractions are associated with recurrence relations that correspond to multipoint rational interpolants. A Favard type theorem is proved for each type. We then study explicit models which lead to biorthogonal rational functions.