59 citations · 298 across the 54 of their papers we have counts for
62 papers
Connection formulas for Askey--Wilson polynomials and related expansions
Howard S. Cohl, Wolter Groenevelt
We derive and study expansions of and over the Askey--Wilson polynomials. We study these expansions and examine some limits to the continuous dual -Hahn, Al-Salam--Chihara, cont…
Terminating representations, transformations and summations for the and -symmetric subfamilies of the Askey--Wilson polynomials
Howard S. Cohl, Roberto S. Costas-Santos, Linus Ge
In this article, we exhaustively explore the terminating basic hypergeometric representations and transformations of the and -symmetric subfamilies of the Askey--Wilson…
Integral representation for a product of two Jacobi functions of the second kind
Howard S. Cohl, Loyal Durand
By starting with Durand's double integral representation for a product of two Jacobi functions of the second kind, we derive an integral representation for a product of two Jacobi…
Transformations and summations for bilateral basic hypergeometric series
Howard S. Cohl, Michael J. Schlosser
We review and derive transformation and summation formulas for bilateral basic hypergeometric series. Our study focuses on consequences of certain bilateral extensions of two impor…
Asymptotics, orthogonality relations and duality for the and -symmetric polynomials in the -Askey scheme
Howard S. Cohl, Roberto S. Costas-Santos, Xiang-Sheng Wang
In this survey we summarize the current state of known orthogonality relations for the and -symmetric and dual subfamilies of the Askey--Wilson polynomials in the -A…
Evaluation of beta integrals of Ramanujan type and integral representations for bilateral hypergeometric series
Howard Cohl, Hans Volkmer
In this paper we evaluate integrals of products of gamma functions of Ramanujan type in terms of bilateral hypergeometric series. In cases where the bilateral hypergeometric series…