A Note on Error Functions and Some Related Special Functions

In this note, priority is given to presenting essential information on the fundamental error functions, which play particularly different roles in the natural and engineering sciences, as well as some special functions closely related to them. Subsequently, various special relationships among these functions are highlighted, and finally, some selected applications of these relationships — emphasized through several references — are also proposed for interested readers.

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DergiPark (Istanbul University)
Published
2026-02-04
Primary Topic
Iterative Methods for Nonlinear Equations
Type
article
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article

A Note on Error Functions and Some Related Special Functions

Hüseyi̇n Irmak
DergiPark (Istanbul University)
Iterative Methods for Nonlinear Equations
article

A Note on Error Functions and Some Related Special Functions

Hüseyi̇n Irmak
article en

Abstract

In this note, priority is given to presenting essential information on the fundamental error functions, which play particularly different roles in the natural and engineering sciences, as well as some special functions closely related to them. Subsequently, various special relationships among these functions are highlighted, and finally, some selected applications of these relationships — emphasized through several references — are also proposed for interested readers.

DergiPark (Istanbul University)
İstanbul Nişantaşı Üniversitesi (TR)
Openalex Percentile: Top 28%
Iterative Methods for Nonlinear Equations
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