The complex error functions and various extensive results together with implications pertaining to certain special functions

Hüseyin Irmak; Praveen Agarwal; Ravi P. Agarwal

doi:10.3906/mat-2108-44

The complex error functions and various extensive results together with implications pertaining to certain special functions

Hüseyin Irmak
, Praveen Agarwal
, Ravi P. Agarwal

Nonlinear Dynamic Research Centre (NDRC)

Çankiri Karatekin University
International College of Engineering
Texas A&M University-Kingsville

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The error functions play very important roles in science and technology. In this investigation, the error functions in the complex plane will be introduced, then comprehensive results together with several nonlinear implications in relation to the related complex functions will be indicated, and some possible special results of them will be next presented. Furthermore, various interesting or important suggestions will be also made for the scientific researchers who are interested in this topic.

Original language	English
Pages (from-to)	662-674
Number of pages	13
Journal	Turkish Journal of Mathematics
Volume	46
Issue number	Special Issue
DOIs	https://doi.org/10.3906/mat-2108-44
State	Published - 2022

Keywords

Complex series
Equations and inequalities in the complex plane
Hermite polynomials
Open unit disc
Special functions with complex variable
The complex error functions

Access to Document

10.3906/mat-2108-44

Cite this

@article{f25f09ed4ac048aabb1c47ea0f85e6c7,

title = "The complex error functions and various extensive results together with implications pertaining to certain special functions",

abstract = "The error functions play very important roles in science and technology. In this investigation, the error functions in the complex plane will be introduced, then comprehensive results together with several nonlinear implications in relation to the related complex functions will be indicated, and some possible special results of them will be next presented. Furthermore, various interesting or important suggestions will be also made for the scientific researchers who are interested in this topic.",

keywords = "Complex series, Equations and inequalities in the complex plane, Hermite polynomials, Open unit disc, Special functions with complex variable, The complex error functions",

author = "H{\"u}seyin Irmak and Praveen Agarwal and Agarwal, \{Ravi P.\}",

note = "Publisher Copyright: {\textcopyright} T{\"U}BİTAK",

year = "2022",

doi = "10.3906/mat-2108-44",

language = "English",

volume = "46",

pages = "662--674",

journal = "Turkish Journal of Mathematics",

issn = "1300-0098",

publisher = "TUBITAK",

number = "Special Issue",

}

TY - JOUR

T1 - The complex error functions and various extensive results together with implications pertaining to certain special functions

AU - Irmak, Hüseyin

AU - Agarwal, Praveen

AU - Agarwal, Ravi P.

N1 - Publisher Copyright: © TÜBİTAK

PY - 2022

Y1 - 2022

N2 - The error functions play very important roles in science and technology. In this investigation, the error functions in the complex plane will be introduced, then comprehensive results together with several nonlinear implications in relation to the related complex functions will be indicated, and some possible special results of them will be next presented. Furthermore, various interesting or important suggestions will be also made for the scientific researchers who are interested in this topic.

AB - The error functions play very important roles in science and technology. In this investigation, the error functions in the complex plane will be introduced, then comprehensive results together with several nonlinear implications in relation to the related complex functions will be indicated, and some possible special results of them will be next presented. Furthermore, various interesting or important suggestions will be also made for the scientific researchers who are interested in this topic.

KW - Complex series

KW - Equations and inequalities in the complex plane

KW - Hermite polynomials

KW - Open unit disc

KW - Special functions with complex variable

KW - The complex error functions

UR - https://www.scopus.com/pages/publications/85126087209

U2 - 10.3906/mat-2108-44

DO - 10.3906/mat-2108-44

M3 - Article

AN - SCOPUS:85126087209

SN - 1300-0098

VL - 46

SP - 662

EP - 674

JO - Turkish Journal of Mathematics

JF - Turkish Journal of Mathematics

IS - Special Issue

ER -

The complex error functions and various extensive results together with implications pertaining to certain special functions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this