Zobrazeno 1 - 9
of 9
pro vyhledávání: '"33C45, 11B83"'
Autor:
Barry, Paul
We study properties of constant coefficient Laurent biorthogonal polynomials using Riordan arrays. We give details of related orthogonal polynomials, and we explore relationships between the moments of these orthogonal polynomials, the moments of the
Externí odkaz:
http://arxiv.org/abs/1906.06370
Autor:
Barry, Paul
We show that the coefficient array of a family of Chebyshev moments defines an involution in the group of Riordan arrays. We then extend this result to certain families of $d$-orthogonal polynomials.
Comment: 28 pages
Comment: 28 pages
Externí odkaz:
http://arxiv.org/abs/1912.11845
Autor:
Barry, Paul
We define a transformation that associates certain exponential moment sequences with ordinary moment sequences in a natural way. The ingredients of this transformation are series reversion, the Sumudu transform (a variant of the Laplace transform), a
Externí odkaz:
http://arxiv.org/abs/1802.03443
Autor:
Barry, Paul
Using the theory of exponential Riordan arrays, we show that the Eulerian-Dowling polynomials are moments for a paramaterized family of orthogonal polynomials. In addition, we show that the related Dowling and the Tanny-Dowling polynomials are also m
Externí odkaz:
http://arxiv.org/abs/1702.04007
Autor:
Barry, Paul
The Hankel transform of an integer sequence is a much studied and much applied mathematical operation. In this note, we extend the notion in a natural way to sequences of $d$ integer sequences. We explore links to generalized continued fractions in t
Externí odkaz:
http://arxiv.org/abs/1702.04011
Autor:
Barry, Paul
Using the language of Riordan arrays, we study a one-parameter family of orthogonal polynomials that we call the restricted Chebyshev-Boubaker polynomials. We characterize these polynomials in terms of the three term recurrences that they satisfy, an
Externí odkaz:
http://arxiv.org/abs/1702.04001
Autor:
Barry, Paul
Every ordinary Riordan array contains two naturally embedded Riordan arrays. We explore this phenomenon, and we compare it to the situation for certain moment matrices of families of orthogonal polynomials.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/1312.0583
The starting point of this paper are the Mittag-Leffler polynomials introduced by H. Bateman [1]. Based on generalized integer powers of real numbers and deformed exponential function, we introduce deformed Mittag-Leffler polynomials defined by appro
Externí odkaz:
http://arxiv.org/abs/1007.3612
Autor:
Paul Barry
Every ordinary Riordan array contains two naturally embedded Riordan arrays. We explore this phenomenon, and we compare it to the situation for certain moment matrices of families of orthogonal polynomials.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5be77be41c811c371cb371671874d1c9