Add to ORKGWe solve the connection problem of a certain system of linear $q$-difference equations recently introduced by K. Park. The result contains the connection formulas of the $q$-Lauricella hypergeometric function $\varphi_{D}$ and those of the $q$-generalized hypergeometric function ${}_{N+1}\varphi_{N}$ as special cases. Our result gives a simultaneous extension of them.Comment: 25 page
ABSTRACT: In the present paper our result is the q-extension of the known result due to Galu´e and K...
AbstractThis paper describes three algorithms for q -hypergeometric summation: • a multibasic analog...
The problem of analytic continuation is considered for the Lauricella function F(N) D , a generalize...
We show a connection formula for the $q$-confluent hypergeometric functions ${}_2varphi_1(a,b;0;q,x)...
27 pages, no figures.-- MSC2000 code: 33D45.MR#: MR1824666 (2002f:33025)Zbl#: Zbl 0983.33009In the p...
In the present paper, starting from the second-order difference hypergeometric equation on the non-u...
This is a continuation of [19], where we presented an extension of the q-hypergeometric function wit...
The purpose of this article is to introduce a new complete multiple q-hypergeometric symbolic calcul...
AbstractIn the present paper, starting from the second-order difference hypergeometric equation on t...
Six families of generalized hypergeometric series in a variable $x$ and an arbitrary number of param...
We provide a simpler proof for an infinite product expression of Gustafson’s q-beta integral of type...
Abstract. Let {Pk} and Qk be any two sequences of classical orthogonal polynomials. Using theorems o...
The connection problem is considered in a hypergeometric function framework for (i) the two most gen...
When the hypergeometric differential equation has finite monodromy, algebraic expressions of the con...
In an earlier paper, we found transformation and summation formulas for 43 q-hypergeometric function...
ABSTRACT: In the present paper our result is the q-extension of the known result due to Galu´e and K...
AbstractThis paper describes three algorithms for q -hypergeometric summation: • a multibasic analog...
The problem of analytic continuation is considered for the Lauricella function F(N) D , a generalize...
We show a connection formula for the $q$-confluent hypergeometric functions ${}_2varphi_1(a,b;0;q,x)...
27 pages, no figures.-- MSC2000 code: 33D45.MR#: MR1824666 (2002f:33025)Zbl#: Zbl 0983.33009In the p...
In the present paper, starting from the second-order difference hypergeometric equation on the non-u...
This is a continuation of [19], where we presented an extension of the q-hypergeometric function wit...
The purpose of this article is to introduce a new complete multiple q-hypergeometric symbolic calcul...
AbstractIn the present paper, starting from the second-order difference hypergeometric equation on t...
Six families of generalized hypergeometric series in a variable $x$ and an arbitrary number of param...
We provide a simpler proof for an infinite product expression of Gustafson’s q-beta integral of type...
Abstract. Let {Pk} and Qk be any two sequences of classical orthogonal polynomials. Using theorems o...
The connection problem is considered in a hypergeometric function framework for (i) the two most gen...
When the hypergeometric differential equation has finite monodromy, algebraic expressions of the con...
In an earlier paper, we found transformation and summation formulas for 43 q-hypergeometric function...
ABSTRACT: In the present paper our result is the q-extension of the known result due to Galu´e and K...
AbstractThis paper describes three algorithms for q -hypergeometric summation: • a multibasic analog...
The problem of analytic continuation is considered for the Lauricella function F(N) D , a generalize...