1 citations · 2 across the 5 of their papers we have counts for
5 papers
Riccati equations and convolution formulas for functions of Rayleigh type
Dharma P. Gupta, Martin E. Muldoon
N. Kishore, Proc. Amer. Math. Soc. 14 (1963), 523, considered the Rayleigh functions sigma_n, sums of the negative even powers of the (non-zero) zeros of the Bessel function J_nu(z…
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…
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…
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…
Solutions to the associated q-Askey-Wilson polynomial recurrence relation
Dharma P. Gupta, David R. Masson
A $\tphin$ contiguous relation is used to derive contiguous relations for a very-well-poised $\ephis$. These in turn yield solutions to the associated -Askey-Wilson polynomial r…