A New Measure of Quantum Starlike Functions Connected with Julia Functions
In a complex domain, the investigation of the quantum differential subordinations for starlike functions is newly considered by few research studies. In this note, we arrange a set of necessary conditions utilizing the concept of the quantum differential subordinations for starlike functions related...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/4865785 |
| _version_ | 1798024252851486720 |
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| author | Samir B. Hadid Rabha W. Ibrahim Shaher Momani |
| author_facet | Samir B. Hadid Rabha W. Ibrahim Shaher Momani |
| author_sort | Samir B. Hadid |
| collection | DOAJ |
| description | In a complex domain, the investigation of the quantum differential subordinations for starlike functions is newly considered by few research studies. In this note, we arrange a set of necessary conditions utilizing the concept of the quantum differential subordinations for starlike functions related to the set of parametric Julia functions. Our method is based on the usage of quantum Jack lemma, where this lemma is generalized recently by the quantum derivative (Jackson calculus). We illustrate a starlike formula dominated by different types of Julia functions. The sufficient conditions are computed in the quantum and the Julia fractional parameters. We indicate a relationship between these two parameters. |
| first_indexed | 2024-04-11T17:59:30Z |
| format | Article |
| id | doaj.art-2ba3689cdf0a44c881f409d812748b57 |
| institution | Directory Open Access Journal |
| issn | 2314-8888 |
| language | English |
| last_indexed | 2024-04-11T17:59:30Z |
| publishDate | 2022-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj.art-2ba3689cdf0a44c881f409d812748b572022-12-22T04:10:33ZengHindawi LimitedJournal of Function Spaces2314-88882022-01-01202210.1155/2022/4865785A New Measure of Quantum Starlike Functions Connected with Julia FunctionsSamir B. Hadid0Rabha W. Ibrahim1Shaher Momani2Department of Mathematics and SciencesIEEE: 94086547Department of Mathematics and SciencesIn a complex domain, the investigation of the quantum differential subordinations for starlike functions is newly considered by few research studies. In this note, we arrange a set of necessary conditions utilizing the concept of the quantum differential subordinations for starlike functions related to the set of parametric Julia functions. Our method is based on the usage of quantum Jack lemma, where this lemma is generalized recently by the quantum derivative (Jackson calculus). We illustrate a starlike formula dominated by different types of Julia functions. The sufficient conditions are computed in the quantum and the Julia fractional parameters. We indicate a relationship between these two parameters.http://dx.doi.org/10.1155/2022/4865785 |
| spellingShingle | Samir B. Hadid Rabha W. Ibrahim Shaher Momani A New Measure of Quantum Starlike Functions Connected with Julia Functions Journal of Function Spaces |
| title | A New Measure of Quantum Starlike Functions Connected with Julia Functions |
| title_full | A New Measure of Quantum Starlike Functions Connected with Julia Functions |
| title_fullStr | A New Measure of Quantum Starlike Functions Connected with Julia Functions |
| title_full_unstemmed | A New Measure of Quantum Starlike Functions Connected with Julia Functions |
| title_short | A New Measure of Quantum Starlike Functions Connected with Julia Functions |
| title_sort | new measure of quantum starlike functions connected with julia functions |
| url | http://dx.doi.org/10.1155/2022/4865785 |
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