Some applications of subordination theorems associated with fractional $q$-calculus operator
Using the operator $\frak{D}_{q,\varrho}^m(\lambda,l)$, we introduce the subclasses $\frak{Y}^{*m}_{q,\varrho}(l,\lambda,\gamma)$ and $\frak{K}^{*m}_{q,\varrho}(l,\lambda,\gamma)$ of normalized analytic functions. Among the results investigated for each of these function classes, we derive some subo...
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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2023-07-01
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| Series: | Mathematica Bohemica |
| Subjects: | |
| Online Access: | http://mb.math.cas.cz/full/148/2/mb148_2_1.pdf |
| _version_ | 1827957900759269376 |
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| author | Wafaa Y. Kota Rabha Mohamed El-Ashwah |
| author_facet | Wafaa Y. Kota Rabha Mohamed El-Ashwah |
| author_sort | Wafaa Y. Kota |
| collection | DOAJ |
| description | Using the operator $\frak{D}_{q,\varrho}^m(\lambda,l)$, we introduce the subclasses $\frak{Y}^{*m}_{q,\varrho}(l,\lambda,\gamma)$ and $\frak{K}^{*m}_{q,\varrho}(l,\lambda,\gamma)$ of normalized analytic functions. Among the results investigated for each of these function classes, we derive some subordination results involving the Hadamard product of the associated functions. The interesting consequences of some of these subordination results are also discussed. Also, we derive integral means results for these classes. |
| first_indexed | 2024-04-09T15:28:17Z |
| format | Article |
| id | doaj.art-b7b69cb8548f4d9d88a6e9f04d71a9e9 |
| institution | Directory Open Access Journal |
| issn | 0862-7959 2464-7136 |
| language | English |
| last_indexed | 2024-04-09T15:28:17Z |
| publishDate | 2023-07-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj.art-b7b69cb8548f4d9d88a6e9f04d71a9e92023-04-28T12:19:40ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362023-07-01148213114810.21136/MB.2022.0047-21MB.2022.0047-21Some applications of subordination theorems associated with fractional $q$-calculus operatorWafaa Y. KotaRabha Mohamed El-AshwahUsing the operator $\frak{D}_{q,\varrho}^m(\lambda,l)$, we introduce the subclasses $\frak{Y}^{*m}_{q,\varrho}(l,\lambda,\gamma)$ and $\frak{K}^{*m}_{q,\varrho}(l,\lambda,\gamma)$ of normalized analytic functions. Among the results investigated for each of these function classes, we derive some subordination results involving the Hadamard product of the associated functions. The interesting consequences of some of these subordination results are also discussed. Also, we derive integral means results for these classes.http://mb.math.cas.cz/full/148/2/mb148_2_1.pdf analytic function subordination principle subordinating factor sequence hadamard product $q$-difference operator fractional $q$-calculus operator |
| spellingShingle | Wafaa Y. Kota Rabha Mohamed El-Ashwah Some applications of subordination theorems associated with fractional $q$-calculus operator Mathematica Bohemica analytic function subordination principle subordinating factor sequence hadamard product $q$-difference operator fractional $q$-calculus operator |
| title | Some applications of subordination theorems associated with fractional $q$-calculus operator |
| title_full | Some applications of subordination theorems associated with fractional $q$-calculus operator |
| title_fullStr | Some applications of subordination theorems associated with fractional $q$-calculus operator |
| title_full_unstemmed | Some applications of subordination theorems associated with fractional $q$-calculus operator |
| title_short | Some applications of subordination theorems associated with fractional $q$-calculus operator |
| title_sort | some applications of subordination theorems associated with fractional q calculus operator |
| topic | analytic function subordination principle subordinating factor sequence hadamard product $q$-difference operator fractional $q$-calculus operator |
| url | http://mb.math.cas.cz/full/148/2/mb148_2_1.pdf |
| work_keys_str_mv | AT wafaaykota someapplicationsofsubordinationtheoremsassociatedwithfractionalqcalculusoperator AT rabhamohamedelashwah someapplicationsofsubordinationtheoremsassociatedwithfractionalqcalculusoperator |