Open AccessOn Infinite Series and with Their Some Applications to Euler's Summation Formula
Author(s) -
Abdel Radi Abdel Gadir Abdel Rahman,
Neama Yahia Mohammed,
Subhi Abdalazim Aljily,
Nidal Elamen Mohammed Ali
Publication year - 2021
Publication title -
european journal of mathematics and statistics
Language(s) - English
Resource type - Journals
ISSN - 2736-5484
DOI - 10.24018/ejmath.2021.2.3.32
Subject(s) - euler summation , euler's formula , series (stratigraphy) , divergent series , summation by parts , mathematics , calculus (dental) , euler method , semi implicit euler method , computer science , mathematical analysis , backward euler method , euler equations , medicine , paleontology , biology , dentistry
Infinite series is still used in engineering, mathematical and physical sciences.In the modern area a great progress is made in the sciences of calculus in addition to what was accompanied by advances in infinite series and their some applications .The aims of this paper is to develop and introduces the infinite series and their some applications to Euler's summation , also we show and explain how to apply the infinite series in Euler's summation .We followed the induction mathematical method and found that : The relationship through the Euler's summation focused on the physical link questioner to make the study as an application for Euler's summation so it can be the beginning of advanced study in concept of the infinite series and their some applications to Euler's summation.