11 citations · 61 across the 21 of their papers we have counts for
21 papers
FPS In Action: An Easy Way To Find Explicit Formulas For Interlaced Hypergeometric Sequences
Bertrand Teguia Tabuguia, Wolfram Koepf
Linear recurrence equations with constant coefficients define the power series coefficients of rational functions. However, one usually prefers to have an explicit formula for the…
Recurrence equations involving different orthogonal polynomial sequences and applications
A. S. Jooste, D. D. Tcheutia, W. Koepf
Consider , a sequence of polynomials orthogonal with respect to on , and polynomials , orthog…
On the representation of non-holonomic univariate power series
Bertrand Teguia Tabuguia, Wolfram Koepf
Holonomic functions play an essential role in Computer Algebra since they allow the application of many symbolic algorithms. Among all algorithmic attempts to find formulas for pow…
Symbolic computation of hypergeometric type and non-holonomic power series
Bertrand Teguia Tabuguia, Wolfram Koepf
A term is -fold hypergeometric, for a given positive integer , if the ratio is a rational function over a field of characteristic zero. We establish t…
Quasi-Orthogonality of Some Hypergeometric and -Hypergeometric Polynomials
Daniel D. Tcheutia, Alta S. Jooste, Wolfram Koepf
We show how to obtain linear combinations of polynomials in an orthogonal sequence , such as , $a_{n,0}a_{n,k}\…
Divisibility of Trinomials by Irreducible Polynomials over F2
Ryul Kim, Wolfram Koepf
Irreducible trinomials of given degree n over do not always exist and in the cases that there is no irreducible trinomial of degree n it may be effective to use trinomials wi…