2 citations · 3 across the 6 of their papers we have counts for
6 papers
On bi-variate poly-Bernoulli polynomials
Claudio Pita-Ruiz
We introduce poly-Bernoulli polynomials in two variables by using a generalization of Stirling numbers of the second kind that we studied in a previous work. We prove the bi-variat…
Generalized Stirling Numbers I
Claudio Pita-Ruiz
We consider generalized Stirling numbers of the second kind , , where $a,b,α_{…
Truncated Euler polynomials
Takao Komatsu, Claudio de J. Pita Ruiz
We define a truncated Euler polynomial as a generalization of the classical Euler polynomial . In this paper we give its some properties and relations with the…
Accardi complementarity in -deformed quantum mechanics
Claudio Pita-Ruiz, Stephen B. Sontz
In this note we show that the momentum and position operators of -deformed quantum mechanics for are not Accardi complementary in a sense that we will define. We conjectu…
On Shannon entropies in -deformed Segal-Bargmann analysis
Claudio Pita-Ruiz, Stephen B. Sontz
We consider a -deformation of the Segal-Bargmann transform, which is a unitary map from a -deformed quantum configuration space onto a -deformed quantum phase space (the $…
On Hirschman and log-Sobolev inequalities in mu-deformed Segal-Bargmann analysis
C. Pita-Ruiz, S. B. Sontz
We consider a deformation of Segal-Bargmann space and its transform. We study L^p properties of this transform and obtain entropy-entropy inequalities (Hirschman) and entropy-energ…