An extensive note on various fractional-order type operators and some of their effects to certain holomorphic functions
The aim of this paper is to present background information in relation with some fractional-order type operators in the complex plane, which is designed by the fractional-order derivative operator(s). Next we state various implications of that operator and then we show some interesting-special resul...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | deu |
| Published: |
Sciendo
2022-02-01
|
| Series: | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| Subjects: | |
| Online Access: | https://studmath.up.krakow.pl/article/view/9195 |
| _version_ | 1797962118905987072 |
|---|---|
| author | Hüseyin Irmak |
| author_facet | Hüseyin Irmak |
| author_sort | Hüseyin Irmak |
| collection | DOAJ |
| description | The aim of this paper is to present background information in relation with some fractional-order type operators in the complex plane, which is designed by the fractional-order derivative operator(s). Next we state various implications of that operator and then we show some interesting-special results of those applications. |
| first_indexed | 2024-04-11T01:08:17Z |
| format | Article |
| id | doaj.art-22816c1f93714c1aade6eb796708fa2f |
| institution | Directory Open Access Journal |
| issn | 2081-545X 2300-133X |
| language | deu |
| last_indexed | 2024-04-11T01:08:17Z |
| publishDate | 2022-02-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica |
| spelling | doaj.art-22816c1f93714c1aade6eb796708fa2f2023-01-04T10:08:53ZdeuSciendoAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica2081-545X2300-133X2022-02-01217158954An extensive note on various fractional-order type operators and some of their effects to certain holomorphic functionsHüseyin Irmak0Department of Mathematics, Faculty of Sciences, T.C. Çankırı Karatekin UniversityThe aim of this paper is to present background information in relation with some fractional-order type operators in the complex plane, which is designed by the fractional-order derivative operator(s). Next we state various implications of that operator and then we show some interesting-special results of those applications.https://studmath.up.krakow.pl/article/view/9195complex planeholomorphic functionseries expansionfractional-order calculusoperators in certain domainsargument properties |
| spellingShingle | Hüseyin Irmak An extensive note on various fractional-order type operators and some of their effects to certain holomorphic functions Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica complex plane holomorphic function series expansion fractional-order calculus operators in certain domains argument properties |
| title | An extensive note on various fractional-order type operators and some of their effects to certain holomorphic functions |
| title_full | An extensive note on various fractional-order type operators and some of their effects to certain holomorphic functions |
| title_fullStr | An extensive note on various fractional-order type operators and some of their effects to certain holomorphic functions |
| title_full_unstemmed | An extensive note on various fractional-order type operators and some of their effects to certain holomorphic functions |
| title_short | An extensive note on various fractional-order type operators and some of their effects to certain holomorphic functions |
| title_sort | extensive note on various fractional order type operators and some of their effects to certain holomorphic functions |
| topic | complex plane holomorphic function series expansion fractional-order calculus operators in certain domains argument properties |
| url | https://studmath.up.krakow.pl/article/view/9195 |
| work_keys_str_mv | AT huseyinirmak anextensivenoteonvariousfractionalordertypeoperatorsandsomeoftheireffectstocertainholomorphicfunctions AT huseyinirmak extensivenoteonvariousfractionalordertypeoperatorsandsomeoftheireffectstocertainholomorphicfunctions |