AbstractWe develop a method for deriving new basic hypergeometric identities from old ones by parameter augmentation. The main idea is to introduce a new parameter and use the q-Gosper algorithm to find out a suitable form of the summand. By this method, we recover some classical formulas on basic hypergeometric series and find extensions of the Rogers–Fine identity and Ramanujan’s ψ11 summation formula. Moreover, we derive an identity for a ψ33 summation
Abstract We present a systematic method for proving non-terminating basic hypergeometric identi-ties...
In this paper we present a short description of q-analogues of Gosper's, Zeilberger's, Pet...
AbstractA detailed study of the degree setting for Gosper's algorithm for indefinite hypergeometric ...
AbstractWe develop a method for deriving new basic hypergeometric identities from old ones by parame...
AbstractIn a previous paper, we explored the idea of parameter augmentation for basic hypergeometric...
The authors present a technique of deriving basic hypergeometric identities from specializations usi...
Abstract. We present a technique of deriving basic hypergeometric identi-ties from their specializat...
In this paper we present a short description of q-analogues of Gosper’s, Zeilberger’s, Petkovšek’s ...
Abstract. We deduce new q-series identities by applying inverse rela-tions to certain identities for...
Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are develop...
AbstractWe deduce new q-series identities by applying inverse relations to certain identities for ba...
AbstractThis paper describes three algorithms for q -hypergeometric summation: • a multibasic analog...
AbstractUsing a simple method, numerous summation formulas for hypergeometric and basic hypergeometr...
Title from first page of PDF file (viewed November 18, 2010)Includes bibliographical references (p. ...
AbstractZeilberger's algorithm which finds holonomic recurrence equations for definite sums of hyper...
Abstract We present a systematic method for proving non-terminating basic hypergeometric identi-ties...
In this paper we present a short description of q-analogues of Gosper's, Zeilberger's, Pet...
AbstractA detailed study of the degree setting for Gosper's algorithm for indefinite hypergeometric ...
AbstractWe develop a method for deriving new basic hypergeometric identities from old ones by parame...
AbstractIn a previous paper, we explored the idea of parameter augmentation for basic hypergeometric...
The authors present a technique of deriving basic hypergeometric identities from specializations usi...
Abstract. We present a technique of deriving basic hypergeometric identi-ties from their specializat...
In this paper we present a short description of q-analogues of Gosper’s, Zeilberger’s, Petkovšek’s ...
Abstract. We deduce new q-series identities by applying inverse rela-tions to certain identities for...
Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are develop...
AbstractWe deduce new q-series identities by applying inverse relations to certain identities for ba...
AbstractThis paper describes three algorithms for q -hypergeometric summation: • a multibasic analog...
AbstractUsing a simple method, numerous summation formulas for hypergeometric and basic hypergeometr...
Title from first page of PDF file (viewed November 18, 2010)Includes bibliographical references (p. ...
AbstractZeilberger's algorithm which finds holonomic recurrence equations for definite sums of hyper...
Abstract We present a systematic method for proving non-terminating basic hypergeometric identi-ties...
In this paper we present a short description of q-analogues of Gosper's, Zeilberger's, Pet...
AbstractA detailed study of the degree setting for Gosper's algorithm for indefinite hypergeometric ...
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