AbstractBailey's fundamental identity of bilateral well-poised ψ66-series is utilized to present shorter proofs for the two important q-beta integrals discovered by Askey and Wilson (1985) [4] and Askey (1987) [3]. Another rather general q-beta integral containing many extra parameters is similarly derived from Chu's extended Karlsson–Minton-type identity for a bilateral well-poised ψ2n+66+2n-series
The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeom...
We study q-integral representations of the q-gamma and the q-beta functions. This study leads to a v...
AbstractAn integral representation of the Askey–Wilson polynomials is presented in terms of a q-Selb...
International audienceWe prove a general expansion formula in Askey-Wilson polynomials using Bailey ...
Using the q-integral representation of Sears’ nonterminating extension of the q-Saalschütz summation...
AbstractThe q-analogue of Legendre inversions is established and generalized to bilateral sequences....
AbstractAskey-Wilson polynomials pn(x; a, b, c, d) are generalized to the case of non-integer values...
We give new proofs and explain the origin of several combinatorial identities of Fu and Lascoux, Dil...
By means of Abel’s method on summation by parts, some two term recurrence relations on very wellpois...
Dedicated to Dick Askey on the occasion of his 66th birthday, and to the memory of D.B. Sears whose ...
We give new proofs and explain the origin of several combinatorial identities of Fu and Lascoux, Dil...
Abstract. Nonpolynomial basic hypergeometric eigenfunctions of the Askey–Wilson second order differe...
Nonpolynomial basic hypergeometric eigenfunctions of the Askey-Wilson second order difference operat...
We describe the utility of integral representations for sums of basic hypergeometric functions. In p...
Nonpolynomial basic hypergeometric eigenfunctions of the Askey-Wilson second order difference operat...
The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeom...
We study q-integral representations of the q-gamma and the q-beta functions. This study leads to a v...
AbstractAn integral representation of the Askey–Wilson polynomials is presented in terms of a q-Selb...
International audienceWe prove a general expansion formula in Askey-Wilson polynomials using Bailey ...
Using the q-integral representation of Sears’ nonterminating extension of the q-Saalschütz summation...
AbstractThe q-analogue of Legendre inversions is established and generalized to bilateral sequences....
AbstractAskey-Wilson polynomials pn(x; a, b, c, d) are generalized to the case of non-integer values...
We give new proofs and explain the origin of several combinatorial identities of Fu and Lascoux, Dil...
By means of Abel’s method on summation by parts, some two term recurrence relations on very wellpois...
Dedicated to Dick Askey on the occasion of his 66th birthday, and to the memory of D.B. Sears whose ...
We give new proofs and explain the origin of several combinatorial identities of Fu and Lascoux, Dil...
Abstract. Nonpolynomial basic hypergeometric eigenfunctions of the Askey–Wilson second order differe...
Nonpolynomial basic hypergeometric eigenfunctions of the Askey-Wilson second order difference operat...
We describe the utility of integral representations for sums of basic hypergeometric functions. In p...
Nonpolynomial basic hypergeometric eigenfunctions of the Askey-Wilson second order difference operat...
The book provides a comprehensive introduction to the many aspects of the subject of basic hypergeom...
We study q-integral representations of the q-gamma and the q-beta functions. This study leads to a v...
AbstractAn integral representation of the Askey–Wilson polynomials is presented in terms of a q-Selb...