90 research outputs found
The Star of David Rule
In this note, a new concept called {\em -matrix} is proposed, which is
an infinite lower triangular matrix obeying the generalized rule of David star.
Some basic properties of -matrices are discussed and two conjectures on
-matrices are presented, one of which states that if a matrix is a
-matrix, then so is its matrix inverse (if exists).Comment: 7 pages, 1 figur
Inverse Relations and Schauder Bases
AbstractThe concept of inter-changes of Schauder bases is used to interpret inverse relations for sequences. For a given power series, the interplay between different representations by Schauder bases can result in combinatorial identities, new or known. Local cohomology residues and local duality are used for computations. The viewpoint of Riordan arrays is examined using Schauder bases
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