A Simple Perspective on a Challenging Atypical Harmonic Series Using Real Methods

In the present paper we aim to calculate with the exclusive use of real methods, an atypical harmonic series with a weight 4 structure, featuring the harmonic number of the kind 𝐻 2𝑘 . Very simple relations and neat results are considered for the evaluation of the main series.

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Publication Details

Journal
Mathematica Pannonica
Published
2024-11-18
DOI
https://doi.org/10.1556/314.2024.00016
Primary Topic
Iterative Methods for Nonlinear Equations
Type
article
Field-Weighted Citation Impact
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article

A Simple Perspective on a Challenging Atypical Harmonic Series Using Real Methods

Jorge Antonio González Layja
Mathematica Pannonica
Iterative Methods for Nonlinear Equations
article

A Simple Perspective on a Challenging Atypical Harmonic Series Using Real Methods

Jorge Antonio González Layja
article en

Abstract

In the present paper we aim to calculate with the exclusive use of real methods, an atypical harmonic series with a weight 4 structure, featuring the harmonic number of the kind 𝐻 2𝑘 . Very simple relations and neat results are considered for the evaluation of the main series.

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A Simple Perspective on a Challenging Atypical Harmonic Series Using Real Methods — Jorge Antonio González Layja · Mathematica Pannonica (2024) | TGRS Research Map | TGRS