Add to ORKGWe exhibit a class of proper hypergeometric expressions which lead to a key equation with coefficients of degree at most two and a unique solution of arbitrarily high degree in Gosper's algorithm from 1978 for indefinite hypergeometric summation. We investigate similar classes for the related problems of indefinite integration and q-hypergeometric summation
AbstractAn algorithm for proving terminating hypergeometric identities, and thus binomial coefficien...
In this paper we present a short description of q-analogues of Gosper's, Zeilberger's, Pet...
In this paper we present a short description of q-analogues of Gosper’s, Zeilberger’s, Petkovšek’s ...
AbstractA detailed study of the degree setting for Gosper's algorithm for indefinite hypergeometric ...
AbstractA detailed study of the degree setting for Gosper's algorithm for indefinite hypergeometric ...
Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are develop...
this paper a detailed analysis of this degree setting is given. It turns out that the situation for ...
The celebrated Zeilberger algorithm which finds holonomic recurrence equations for definite sums of ...
AbstractZeilberger's algorithm which finds holonomic recurrence equations for definite sums of hyper...
An algorithm for proving terminating hypergeometric identities, and thus binomial coefficients ident...
Title from first page of PDF file (viewed November 18, 2010)Includes bibliographical references (p. ...
AbstractThis paper describes three algorithms for q -hypergeometric summation: • a multibasic analog...
AbstractA decision procedure for finding closed forms for indefinite summation of polynomials, ratio...
AbstractWe develop a method for deriving new basic hypergeometric identities from old ones by parame...
An algebraically motivated generalization of Gosper’s algorithm to indefinite bibasic hypergeometric...
AbstractAn algorithm for proving terminating hypergeometric identities, and thus binomial coefficien...
In this paper we present a short description of q-analogues of Gosper's, Zeilberger's, Pet...
In this paper we present a short description of q-analogues of Gosper’s, Zeilberger’s, Petkovšek’s ...
AbstractA detailed study of the degree setting for Gosper's algorithm for indefinite hypergeometric ...
AbstractA detailed study of the degree setting for Gosper's algorithm for indefinite hypergeometric ...
Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are develop...
this paper a detailed analysis of this degree setting is given. It turns out that the situation for ...
The celebrated Zeilberger algorithm which finds holonomic recurrence equations for definite sums of ...
AbstractZeilberger's algorithm which finds holonomic recurrence equations for definite sums of hyper...
An algorithm for proving terminating hypergeometric identities, and thus binomial coefficients ident...
Title from first page of PDF file (viewed November 18, 2010)Includes bibliographical references (p. ...
AbstractThis paper describes three algorithms for q -hypergeometric summation: • a multibasic analog...
AbstractA decision procedure for finding closed forms for indefinite summation of polynomials, ratio...
AbstractWe develop a method for deriving new basic hypergeometric identities from old ones by parame...
An algebraically motivated generalization of Gosper’s algorithm to indefinite bibasic hypergeometric...
AbstractAn algorithm for proving terminating hypergeometric identities, and thus binomial coefficien...
In this paper we present a short description of q-analogues of Gosper's, Zeilberger's, Pet...
In this paper we present a short description of q-analogues of Gosper’s, Zeilberger’s, Petkovšek’s ...