Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Masson, David R."'
Autor:
Gupta, Dharma P., Masson, David R.
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 $\Phi$ and show that it satisfies certain three-term contiguous relations. From two sets
Externí odkaz:
http://arxiv.org/abs/math/9511218
Explicit solutions for the three-term recurrence satisfied by associated continuous dual $q$-Hahn polynomials are obtained. A minimal solution is identified and an explicit expression for the related continued fraction is derived. The absolutely cont
Externí odkaz:
http://arxiv.org/abs/math/9411226
Autor:
Masson, David R.
A contiguous relation for complementry pairs of very well poised balanced ${}_{10}\phi_9$ basic hypergeometric functions is used to derive an explict expression for the associated continued fraction. This generalizes the continued fraction results as
Externí odkaz:
http://arxiv.org/abs/math/9409229
Autor:
Ismail, Mourad E. H., Masson, David R.
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 cor
Externí odkaz:
http://arxiv.org/abs/math/9407213
Autor:
Gupta, Dharma P., Masson, David R.
We generalize Watson's $ q $-analogue of Ramanujan's Entry 40 continued fraction by deriving solutions to a $ {}_{10} \phi_9 $ series contiguous relation and applying Pincherle's theorem. Watson's result is recovered as a special terminating case, wh
Externí odkaz:
http://arxiv.org/abs/math/9312211
Autor:
Gupta, Dharma P., Masson, David R.
A $\tphin$ contiguous relation is used to derive contiguous relations for a very-well-poised $\ephis$. These in turn yield solutions to the associated $q$-Askey-Wilson polynomial recurrence relation, expressions for the associated continued fraction,
Externí odkaz:
http://arxiv.org/abs/math/9312210
Autor:
Gupta, Dharma P., Masson, David R.
Publikováno v:
Transactions of the American Mathematical Society, 1998 Feb 01. 350(2), 769-808.
Externí odkaz:
https://www.jstor.org/stable/117615
Autor:
Gupta, Dharma P., Masson, David R.
Publikováno v:
Proceedings of the American Mathematical Society, 1991 Jul 01. 112(3), 717-727.
Externí odkaz:
https://www.jstor.org/stable/2048694
Autor:
ISMAIL, MOURAD E.H., MASSON, DAVID R.
Publikováno v:
The Rocky Mountain Journal of Mathematics, 1991 Jan 01. 21(1), 359-375.
Externí odkaz:
https://www.jstor.org/stable/44237397
Autor:
MASSON, DAVID R.
Publikováno v:
The Rocky Mountain Journal of Mathematics, 1991 Jan 01. 21(1), 489-499.
Externí odkaz:
https://www.jstor.org/stable/44237403