We present generalizations of Ruehr’s identities with two additional parameters. We prove the claimed results by two di?erent proof methods, namely combinatorially and mechanically. Further, we derive recurrence relations for some special cases by using the Zeilberger algorithm
It is shown that (two-variable generalizations of) more than half of Slater\u27s list of 130 Rogers–...
In their book ‘A=B’ Marko Petkovsek, Herbert Wilf and Doron Zeilberger talked about computer generat...
To construct a class of identities for number sequences generated by linear recurrence relations. An...
This paper focuses on two binomial identities. The proofs illustrate the power and elegance in enume...
Abstract. We present a computer algebra approach to proving identities on Bernoulli poly-nomials and...
AbstractWe present a computer algebra approach to proving identities on Bernoulli polynomials and Eu...
AbstractTwo hypergeometric terms f(k) and g(k) are said to be similar if the ratio f(k)/g(k) is a ra...
AbstractUsing the recursions satisfied by the polynomials which converge to the right-hand sides of ...
Our research project is about application of recursive sequences in the construction of a class of c...
AbstractZeilberger's algorithm which finds holonomic recurrence equations for definite sums of hyper...
AbstractWe do what the title promises, and as a bonus, we get much simplified versions of these algo...
In this paper we present elegant and elementary proofs of identities that involve sums of the type i...
This paper gives a partial solution to research problem 6.94 in Concrete Mathematics. It shows how t...
We present identities used to represent real numbers of the form xum ± yvn for appro-priately chosen...
AbstractZeilberger's algorithm provides a method to compute recurrence and differential equations fr...
It is shown that (two-variable generalizations of) more than half of Slater\u27s list of 130 Rogers–...
In their book ‘A=B’ Marko Petkovsek, Herbert Wilf and Doron Zeilberger talked about computer generat...
To construct a class of identities for number sequences generated by linear recurrence relations. An...
This paper focuses on two binomial identities. The proofs illustrate the power and elegance in enume...
Abstract. We present a computer algebra approach to proving identities on Bernoulli poly-nomials and...
AbstractWe present a computer algebra approach to proving identities on Bernoulli polynomials and Eu...
AbstractTwo hypergeometric terms f(k) and g(k) are said to be similar if the ratio f(k)/g(k) is a ra...
AbstractUsing the recursions satisfied by the polynomials which converge to the right-hand sides of ...
Our research project is about application of recursive sequences in the construction of a class of c...
AbstractZeilberger's algorithm which finds holonomic recurrence equations for definite sums of hyper...
AbstractWe do what the title promises, and as a bonus, we get much simplified versions of these algo...
In this paper we present elegant and elementary proofs of identities that involve sums of the type i...
This paper gives a partial solution to research problem 6.94 in Concrete Mathematics. It shows how t...
We present identities used to represent real numbers of the form xum ± yvn for appro-priately chosen...
AbstractZeilberger's algorithm provides a method to compute recurrence and differential equations fr...
It is shown that (two-variable generalizations of) more than half of Slater\u27s list of 130 Rogers–...
In their book ‘A=B’ Marko Petkovsek, Herbert Wilf and Doron Zeilberger talked about computer generat...
To construct a class of identities for number sequences generated by linear recurrence relations. An...