3 papers
math.GM2022
Formula for the th -Generalized Fibonacci-like Number
John Alexis B. Gemino, Alexander J. Balsomo, Geneveve M. Parreño-Lachica +2
In this paper we provided a formula for the th term of the -generalized Fibonacci-like sequence, a generalization of the well-known Fibonacci sequence, having arbitrary i…
math-ph2019
Moyal Star-Product and Unitary Representations of the Euclidean Motion Group
Alexander J. Balsomo, Job A. Nable
In this paper, the Moyal star-product quantization is used to construct the unitary irreducible representations of the Euclidean motion group on 3-dimensions. These unitary represe…
math-ph2017
Deformation quantization in the teaching of Lie group representations
Alexander J. Balsomo, Job A. Nable
In this work, we present straightforward and concrete computations of the unitary irreducible representations of the Euclidean motion group employing the methods of deformat…