A unified study of the Fourier series involving the Aleph-function of two variables
In 2016, authors have studied Fourier series involving the Aleph-function. In this paper, we make an application of integrals involving sine function, exponential function, the product of Kamp´e de F´eriet functions and the Aleph-function of two variables to evaluate Fourier series. We also develop a multiple integral involving the Aleph-function of two variables to make its application to derive a multiple exponential Fourier series. Some interesting particular cases and remarks are also given.
Authors
- Frédéric Ayant (ORCID: https://orcid.org/0000-0003-0651-294X)
- Devendra Kumar (ORCID: https://orcid.org/0000-0002-5265-700X)
Publication Details
- Journal
- Acta Universitatis Sapientiae Mathematica
- Published
- 2025-02-28
- DOI
- https://doi.org/10.47745/ausm-2024-0019
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00