Novel Generating Functions Related to Gaussian Numbers and Its Applications for Modeling the Harmonic Oscillators
ABSTRACT In this study, through the utilization of properties associated with symmetric functions, we establish a novel theorem and develop generating functions of the products of Gaussian numbers with numbers, bivariate polynomials and certain polynomials. As an application, we use these generating functions for modeling the quantum oscillators with complex interactions.
Authors
- Ali Boussayoud (ORCID: https://orcid.org/0000-0001-5553-3240)
- Nesrine Harrouche (ORCID: https://orcid.org/0009-0002-4697-5885)
- Chems Eddine Arroud
- Salah Boulaaras
- Dounya Hamek
- Baghdadi Aloui
Institutions
- University of Jijel (DZ)
- University of Sfax (TN)
- Qassim University (SA)
- University of Gabès (TN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2026-03-27
- DOI
- https://doi.org/10.1002/mma.70700
- Primary Topic
- Mathematical functions and polynomials
- Type
- article
- Field-Weighted Citation Impact
- 0.00