1 citations · 2 across the 7 of their papers we have counts for
7 papers
Contiguous relations, continued fractions and orthogonality
Dharma P. Gupta, David R. Masson
We examine a special linear combination of balanced very-well-poised $\tphia$ basic hypergeometric series that is known to satisfy a transformation. We call this and show that…
Addition formulas for q-special functions
Erik Koelink
A general addition formula for a two-parameter family of Askey-Wilson polynomials is derived from the quantum group theoretic interpretation. This formula contains most of…
Contiguous relations, basic hypergeometric functions, and orthogonal polynomials : III. associated continuous dual q-Hahn polynomials
Dharma P. Gupta, Mourad E. H. Ismail, David R. Masson
Explicit solutions for the three-term recurrence satisfied by associated continuous dual -Hahn polynomials are obtained. A minimal solution is identified and an explicit express…
The last of the hypergeometric continued fractions
David R. Masson
A contiguous relation for complementry pairs of very well poised balanced basic hypergeometric functions is used to derive an explict expression for the associated con…
Generalized orthogonality and continued fractions
Mourad E. H. Ismail, David R. Masson
The connection between continued fractions and orthogonality which is familiar for -fractions and -fractions is extended to what we call -fractions of type I and II. These…
Watson's basic analogue of Ramanujan's entry 40 and its generalization
Dharma P. Gupta, David R. Masson
We generalize Watson's -analogue of Ramanujan's Entry 40 continued fraction by deriving solutions to a series contiguous relation and applying Pincherle's theo…