Add to ORKGIn this paper we present elegant and elementary proofs of identities that involve sums of the type in the title using Zeilberger’s algorithm and the Wilf-Zeilberger proof style.Quaestiones Mathematicae 33(2010), 341–34
AbstractTwo hypergeometric terms f(k) and g(k) are said to be similar if the ratio f(k)/g(k) is a ra...
AbstractThis paper argues that automated proofs of identities for nonterminating hypergeometric seri...
We present generalizations of Ruehr’s identities with two additional parameters. We prove the claime...
The sums in the title and any number of similar ones are obtained in a completely elementary and sim...
The sums in the title and any number of similar ones are obtained in a completely elementary and sim...
The purpose of the thesis is to get a better understanding of computer algebra in general, and polyn...
We present identities used to represent real numbers of the form xum±yvn for appropriately chosen re...
We present identities used to represent real numbers of the form xum ± yvn for appro-priately chosen...
This paper focuses on two binomial identities. The proofs illustrate the power and elegance in enume...
In their book ‘A=B’ Marko Petkovsek, Herbert Wilf and Doron Zeilberger talked about computer generat...
Title from first page of PDF file (viewed November 18, 2010)Includes bibliographical references (p. ...
We give new proofs of some sum–to–product identities due to Blecksmith, Brillhart and Gerst, as well...
In this paper, we give an algorithmic solution to a dynamical analog of the problem of certifying co...
AbstractBased on Gosper's algorithm for indefinite hypergeometric summation, Zeilberger's algorithm ...
AbstractZeilberger's algorithm which finds holonomic recurrence equations for definite sums of hyper...
AbstractTwo hypergeometric terms f(k) and g(k) are said to be similar if the ratio f(k)/g(k) is a ra...
AbstractThis paper argues that automated proofs of identities for nonterminating hypergeometric seri...
We present generalizations of Ruehr’s identities with two additional parameters. We prove the claime...
The sums in the title and any number of similar ones are obtained in a completely elementary and sim...
The sums in the title and any number of similar ones are obtained in a completely elementary and sim...
The purpose of the thesis is to get a better understanding of computer algebra in general, and polyn...
We present identities used to represent real numbers of the form xum±yvn for appropriately chosen re...
We present identities used to represent real numbers of the form xum ± yvn for appro-priately chosen...
This paper focuses on two binomial identities. The proofs illustrate the power and elegance in enume...
In their book ‘A=B’ Marko Petkovsek, Herbert Wilf and Doron Zeilberger talked about computer generat...
Title from first page of PDF file (viewed November 18, 2010)Includes bibliographical references (p. ...
We give new proofs of some sum–to–product identities due to Blecksmith, Brillhart and Gerst, as well...
In this paper, we give an algorithmic solution to a dynamical analog of the problem of certifying co...
AbstractBased on Gosper's algorithm for indefinite hypergeometric summation, Zeilberger's algorithm ...
AbstractZeilberger's algorithm which finds holonomic recurrence equations for definite sums of hyper...
AbstractTwo hypergeometric terms f(k) and g(k) are said to be similar if the ratio f(k)/g(k) is a ra...
AbstractThis paper argues that automated proofs of identities for nonterminating hypergeometric seri...
We present generalizations of Ruehr’s identities with two additional parameters. We prove the claime...