Add to ORKGWhile in the univariate case solutions of linear recurrences with constant coefficients have rational generating functions, we show that the multivariate case is much richer: even though initial conditions have rational generating functions, the corresponding solutions can have generating functions which are algebraic but not rational, D-finite but not algebraic, and even non D-finite
To appear in : Proceedings of the 5th Conference on Formal Power Series and Algebraic CombinatoricsA...
International audienceIt is classical that univariate algebraic functions satisfy linear differentia...
Given an infinite sequence of positive integers A, we prove that for every nonnegative integer k the...
AbstractWhile in the univariate case solutions of linear recurrences with constant coefficients have...
AbstractBousquet-Mélou and Petkovšek investigated the generating functions of multivariate linear re...
Abstract. Bousquet-Mélou and Petkovˇsek investigated the generating functions of multivariate linear...
In the following chapter we address the techniques for the resolution of some celebrated recurrence ...
We consider Problem 6.94 posed in the book Concrete Mathematics by Graham, Knuth, and Patashnik, and...
Abstract: This paper looks at the approach of using generating functions to solve linear inhomogeneo...
AbstractWe relate sequences generated by recurrences with polynomial coefficients to interleaving an...
A constant term sequence is a sequence of rational numbers whose $n$-th term is the constant term of...
The central feature of this study is to provide an exposition on the introduction to linear recurren...
Third order linear homogeneous differential and recurrence equations with constant coefficients are ...
We formulate a result that states that specfic products of two independent solutions of a real three...
A linear recurrence is a linear operator which maps rn into rn-1, where (rn) is a (recursive) sequen...
To appear in : Proceedings of the 5th Conference on Formal Power Series and Algebraic CombinatoricsA...
International audienceIt is classical that univariate algebraic functions satisfy linear differentia...
Given an infinite sequence of positive integers A, we prove that for every nonnegative integer k the...
AbstractWhile in the univariate case solutions of linear recurrences with constant coefficients have...
AbstractBousquet-Mélou and Petkovšek investigated the generating functions of multivariate linear re...
Abstract. Bousquet-Mélou and Petkovˇsek investigated the generating functions of multivariate linear...
In the following chapter we address the techniques for the resolution of some celebrated recurrence ...
We consider Problem 6.94 posed in the book Concrete Mathematics by Graham, Knuth, and Patashnik, and...
Abstract: This paper looks at the approach of using generating functions to solve linear inhomogeneo...
AbstractWe relate sequences generated by recurrences with polynomial coefficients to interleaving an...
A constant term sequence is a sequence of rational numbers whose $n$-th term is the constant term of...
The central feature of this study is to provide an exposition on the introduction to linear recurren...
Third order linear homogeneous differential and recurrence equations with constant coefficients are ...
We formulate a result that states that specfic products of two independent solutions of a real three...
A linear recurrence is a linear operator which maps rn into rn-1, where (rn) is a (recursive) sequen...
To appear in : Proceedings of the 5th Conference on Formal Power Series and Algebraic CombinatoricsA...
International audienceIt is classical that univariate algebraic functions satisfy linear differentia...
Given an infinite sequence of positive integers A, we prove that for every nonnegative integer k the...