Place: Seminarraum Schloß Hagenberg
| On the algebraic-combinatorial structure of Umbral Calculus
(work with G. Nicoletti/Bologna)
Abstract: In this and in the following talks we present a combinatorial point of view for a general umbral calculus only based on the structure of vector space and coalgebra.
|Umbral Calculus (part II)
|Umbral Calculus (part III)
|Multisecting degenerate recurrences
|On automated proofs of q-identities
| A note on the computation of cyclotomic factors of a resultant.
Abstract: In this talk we propose a method for obtaining cyclotomic factors of a resultant without computing the resultant explicitly. By the method we may get rid of intermediate expression as well.
| Invertible elements in Hadamard Algebras
Abstract: Continuing my previous talk on multisection of sequences I show how to decide in the Hadamard algebra of C- and P-recursive sequences that a sequence is invertible. As an application I propose a simpler mean for finding m-hypergeometric solutions of recurrence relations than was given by Petkovsek and Salvy.
|Survey/Introduction to q-identities
| Holonomic functions in Koepf' s approach
Abstract: I will continue the talk which started in November 1994. Wolfram Koepf gave an approach for Computing the Power Series expansion of certain classes of functions. In my talk I will (try to) close some gaps that Koepf left. I will specify some parts of his algorithm for holonomic functions. Moreover, I will state some question that arose when I was working with this subject.