New Applications of Fractional Integral for Introducing Subclasses of Analytic Functions
The fractional integral is prolific in giving rise to interesting outcomes when associated with different operators. For the study presented in this paper, the fractional integral is associated with the convolution product of multiplier transformation and the Ruscheweyh derivative. Using the operato...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/2/419 |
| _version_ | 1797476361099542528 |
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| author | Alina Alb Lupaş |
| author_facet | Alina Alb Lupaş |
| author_sort | Alina Alb Lupaş |
| collection | DOAJ |
| description | The fractional integral is prolific in giving rise to interesting outcomes when associated with different operators. For the study presented in this paper, the fractional integral is associated with the convolution product of multiplier transformation and the Ruscheweyh derivative. Using the operator obtained as a result of this association and inspired by previously published results obtained with similarly introduced operators, the class of analytic functions <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">IR</mi><mo>(</mo><mi>μ</mi><mo>,</mo><mi>λ</mi><mo>,</mo><mi>β</mi><mo>,</mo><mi>γ</mi><mo>,</mo><mi>α</mi><mo>,</mo><mi>l</mi><mo>,</mo><mi>m</mi><mo>,</mo><mi>n</mi><mo>)</mo></mrow></semantics></math></inline-formula> is defined and investigated concerning various characteristics such as distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to this class. |
| first_indexed | 2024-03-09T20:57:46Z |
| format | Article |
| id | doaj.art-c1949dc0c5c04a4c84613039dcecb6c0 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T20:57:46Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-c1949dc0c5c04a4c84613039dcecb6c02023-11-23T22:18:13ZengMDPI AGSymmetry2073-89942022-02-0114241910.3390/sym14020419New Applications of Fractional Integral for Introducing Subclasses of Analytic FunctionsAlina Alb Lupaş0Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, RomaniaThe fractional integral is prolific in giving rise to interesting outcomes when associated with different operators. For the study presented in this paper, the fractional integral is associated with the convolution product of multiplier transformation and the Ruscheweyh derivative. Using the operator obtained as a result of this association and inspired by previously published results obtained with similarly introduced operators, the class of analytic functions <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">IR</mi><mo>(</mo><mi>μ</mi><mo>,</mo><mi>λ</mi><mo>,</mo><mi>β</mi><mo>,</mo><mi>γ</mi><mo>,</mo><mi>α</mi><mo>,</mo><mi>l</mi><mo>,</mo><mi>m</mi><mo>,</mo><mi>n</mi><mo>)</mo></mrow></semantics></math></inline-formula> is defined and investigated concerning various characteristics such as distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to this class.https://www.mdpi.com/2073-8994/14/2/419analytic functionsunivalent functionsradii of starlikeness and convexityneighborhood propertymultiplier transformationRuscheweyh derivative |
| spellingShingle | Alina Alb Lupaş New Applications of Fractional Integral for Introducing Subclasses of Analytic Functions Symmetry analytic functions univalent functions radii of starlikeness and convexity neighborhood property multiplier transformation Ruscheweyh derivative |
| title | New Applications of Fractional Integral for Introducing Subclasses of Analytic Functions |
| title_full | New Applications of Fractional Integral for Introducing Subclasses of Analytic Functions |
| title_fullStr | New Applications of Fractional Integral for Introducing Subclasses of Analytic Functions |
| title_full_unstemmed | New Applications of Fractional Integral for Introducing Subclasses of Analytic Functions |
| title_short | New Applications of Fractional Integral for Introducing Subclasses of Analytic Functions |
| title_sort | new applications of fractional integral for introducing subclasses of analytic functions |
| topic | analytic functions univalent functions radii of starlikeness and convexity neighborhood property multiplier transformation Ruscheweyh derivative |
| url | https://www.mdpi.com/2073-8994/14/2/419 |
| work_keys_str_mv | AT alinaalblupas newapplicationsoffractionalintegralforintroducingsubclassesofanalyticfunctions |