Add to ORKGAn alternative proof of W. N. Bailey's identity may suggest how others of a similar nature can be systematically derived from the basic hypergeometric series. Among the analogues of theorems on the generalized hypergeometric series in the theory of the basic hypergeometric series are the transformations corresponding to Thomas's for the series ₃F₂. The proof of the identities by an interchange of order of summation for the case of the basic hypergeometric series is almost identical with that for the original case
This thesis deals with a method of expressing, as infinite products, some special limiting cases of ...
AbstractThe object of the present paper is to establish three general multiple series identities and...
We explicitly give the relations between the hypergeometric solutions of the general hypergeometric ...
An alternative proof of W. N. Bailey's identity may suggest how others of a similar nature can be sy...
AbstractWe prove a new Bailey-type transformation relating WP-Bailey pairs. We then use this transfo...
AbstractThe elementary manipulation of series is applied to obtain a quite general transformation in...
AbstractThe elementary manipulation of series is applied to obtain a quite general transformation in...
AbstractBasic hypergeometric series identities are revisited systematically by means of Abel's lemma...
AbstractWe show that several terminating summation and transformation formulas for basic hypergeomet...
We reformulate two construction of George Andrews (constructions which enable new WP-Bailey pairs to...
17 pages, to appear in J. Math. Anal. Appl. See also http://math.univ-lyon1.fr/~guoWe show that seve...
Abstract. We use a special case of a transformation, deriving from a construction of George Andrews ...
17 pages, to appear in J. Math. Anal. Appl. See also http://math.univ-lyon1.fr/~guoWe show that seve...
Abstract. We show that several terminating summation and transformation formulas for basic hypergeom...
We explicitly give the relations between the hypergeometric solutions of the general hypergeometric ...
This thesis deals with a method of expressing, as infinite products, some special limiting cases of ...
AbstractThe object of the present paper is to establish three general multiple series identities and...
We explicitly give the relations between the hypergeometric solutions of the general hypergeometric ...
An alternative proof of W. N. Bailey's identity may suggest how others of a similar nature can be sy...
AbstractWe prove a new Bailey-type transformation relating WP-Bailey pairs. We then use this transfo...
AbstractThe elementary manipulation of series is applied to obtain a quite general transformation in...
AbstractThe elementary manipulation of series is applied to obtain a quite general transformation in...
AbstractBasic hypergeometric series identities are revisited systematically by means of Abel's lemma...
AbstractWe show that several terminating summation and transformation formulas for basic hypergeomet...
We reformulate two construction of George Andrews (constructions which enable new WP-Bailey pairs to...
17 pages, to appear in J. Math. Anal. Appl. See also http://math.univ-lyon1.fr/~guoWe show that seve...
Abstract. We use a special case of a transformation, deriving from a construction of George Andrews ...
17 pages, to appear in J. Math. Anal. Appl. See also http://math.univ-lyon1.fr/~guoWe show that seve...
Abstract. We show that several terminating summation and transformation formulas for basic hypergeom...
We explicitly give the relations between the hypergeometric solutions of the general hypergeometric ...
This thesis deals with a method of expressing, as infinite products, some special limiting cases of ...
AbstractThe object of the present paper is to establish three general multiple series identities and...
We explicitly give the relations between the hypergeometric solutions of the general hypergeometric ...