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pro vyhledávání: '"Barry, Paul"'
Autor:
Barry, Paul
We use the link between Jacobi continued fractions and the generating functions of certain moment sequences to study some simple transformations on them. In particular, we define and study a transformation that is appropriate for the study of spidern
Externí odkaz:
http://arxiv.org/abs/2307.00098
Autor:
Barry, Paul
We indicate that given an integer coordinate point on an elliptic curve y^2+axy+by=x^3+cx^2+dx+e we can identify an integer sequence whose Hankel transform is a Somos-4 sequence, and whose Hankel determinants can be used to determine the coordinates
Externí odkaz:
http://arxiv.org/abs/2306.05025
Autor:
Baril, Jean-Luc, Barry, Paul
Motzkin paths with air pockets (MAP) are defined as a generalization of Dyck paths with air pockets by adding some horizontal steps with certain conditions. In this paper, we introduce two generalizations. The first one consists of lattice paths in $
Externí odkaz:
http://arxiv.org/abs/2212.12404
Autor:
Barry, Paul
We give conjectures on the form of families of integer sequences whose Hankel transforms are, respectively, $(\alpha, \beta)$ Somos $4$ sequences, $(\alpha, 0, \gamma)$ Somos $6$ sequences, and $(\alpha, \beta, \gamma, \delta)$ Somos $8$ sequences, f
Externí odkaz:
http://arxiv.org/abs/2211.12637
Autor:
Barry, Paul
We show how to define, for every Riordan group element $(g(x), f(x))$, an involution in the Riordan group. More generally, we show that for every pseudo-involution $P$ in the Riordan group, we can define a new involution beginning with an arbitrary e
Externí odkaz:
http://arxiv.org/abs/2207.02719