An Application of Sălăgean Operator Concerning Starlike Functions
As an application of the well-known Sălăgean differential operator, a new operator is introduced and, using this, a new class of functions <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/11/2/50 |
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| author | Hatun Özlem Güney Georgia Irina Oros Shigeyoshi Owa |
| author_facet | Hatun Özlem Güney Georgia Irina Oros Shigeyoshi Owa |
| author_sort | Hatun Özlem Güney |
| collection | DOAJ |
| description | As an application of the well-known Sălăgean differential operator, a new operator is introduced and, using this, a new class of functions <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>S</mi><mi>n</mi></msub><mrow><mo>(</mo><mi>α</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> is defined, which has the classes of starlike and convex functions of order <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula> as special cases. Original results related to the newly defined class are obtained using the renowned Jack–Miller–Mocanu lemma. A relevant example is given regarding the applications of a new proven result concerning interesting properties of class <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>S</mi><mi>n</mi></msub><mrow><mo>(</mo><mi>α</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>. |
| first_indexed | 2024-03-09T22:36:30Z |
| format | Article |
| id | doaj.art-2b7aeb80268d4d5cb66aa2e54905af8a |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T22:36:30Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-2b7aeb80268d4d5cb66aa2e54905af8a2023-11-23T18:46:51ZengMDPI AGAxioms2075-16802022-01-011125010.3390/axioms11020050An Application of Sălăgean Operator Concerning Starlike FunctionsHatun Özlem Güney0Georgia Irina Oros1Shigeyoshi Owa2Department of Mathematics, Faculty of Science Dicle University, Diyarbakır 21280, TurkeyDepartment of Mathematics and Computer Sciences, Faculty of Informatics and Sciences, University of Oradea, 410087 Oradea, Romania“1 Decembrie 1918” University of Alba Iulia, 510009 Alba Iulia, RomaniaAs an application of the well-known Sălăgean differential operator, a new operator is introduced and, using this, a new class of functions <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>S</mi><mi>n</mi></msub><mrow><mo>(</mo><mi>α</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> is defined, which has the classes of starlike and convex functions of order <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula> as special cases. Original results related to the newly defined class are obtained using the renowned Jack–Miller–Mocanu lemma. A relevant example is given regarding the applications of a new proven result concerning interesting properties of class <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>S</mi><mi>n</mi></msub><mrow><mo>(</mo><mi>α</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>.https://www.mdpi.com/2075-1680/11/2/50analytic functionstarlike function of order αconvex function of order αSălăgean differential operatorAlexander integral operator |
| spellingShingle | Hatun Özlem Güney Georgia Irina Oros Shigeyoshi Owa An Application of Sălăgean Operator Concerning Starlike Functions Axioms analytic function starlike function of order α convex function of order α Sălăgean differential operator Alexander integral operator |
| title | An Application of Sălăgean Operator Concerning Starlike Functions |
| title_full | An Application of Sălăgean Operator Concerning Starlike Functions |
| title_fullStr | An Application of Sălăgean Operator Concerning Starlike Functions |
| title_full_unstemmed | An Application of Sălăgean Operator Concerning Starlike Functions |
| title_short | An Application of Sălăgean Operator Concerning Starlike Functions |
| title_sort | application of salagean operator concerning starlike functions |
| topic | analytic function starlike function of order α convex function of order α Sălăgean differential operator Alexander integral operator |
| url | https://www.mdpi.com/2075-1680/11/2/50 |
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