Improper integral with exponential function

In this paper, we explore the improper integral with exponential function f = xx is approached to infinite series, and also prove the convergence of these series. An improper integral converges if the limit defining it exists. We use Maple code to calculate the infinite series. The application of im...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2023-01, Vol.44 (2), p.1637-1644
Main Authors: AL-Hossain Ahmad, AL-Nashri, Altoum, Sami H., Elamin, Mahjoub A., Othman, Hakeem A.
Format: Article
Language:English
Subjects:
Convergence
Exponential functions
Infinite series
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Summary:In this paper, we explore the improper integral with exponential function f = xx is approached to infinite series, and also prove the convergence of these series. An improper integral converges if the limit defining it exists. We use Maple code to calculate the infinite series. The application of improper integral appear in several domain in science. As an application in this paper, three examples are given to illustrate the effectiveness of our main result.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-220183