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

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
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A unified study of the Fourier series involving the Aleph-function of two variables

Frédéric Ayant, Devendra Kumar
Acta Universitatis Sapientiae Mathematica
advanced mathematical theories
article

A unified study of the Fourier series involving the Aleph-function of two variables

Frédéric Ayant, Devendra Kumar
article en

Abstract

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.

Acta Universitatis Sapientiae MathematicaVol. 16(2)
Openalex Percentile: Top 91%
advanced mathematical theories
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

A unified study of the Fourier series involving the Aleph-function of two variables — Frédéric Ayant, Devendra Kumar · Acta Universitatis Sapientiae Mathematica (2025) | TGRS Research Map | TGRS