Meromorphic functions with missing coefficients defined by $q$-derivative
By considering a fixed point in the punctured unit disk and using the $q$--derivative, a new subfamily of meromorphic and univalent functions is defined. Also, the first and second order {$q$--derivative} of meromorphic functions are introduced. Coefficient bounds, extreme points, radii of starliken...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2023-11-01
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| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_3723_3fcf43629a0acb35bf1b71a9c165b13c.pdf |
| _version_ | 1797303103146426368 |
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| author | Shahram Najafzadeh Tahereh Behpour Ali Ebadian Robab H. Haghi |
| author_facet | Shahram Najafzadeh Tahereh Behpour Ali Ebadian Robab H. Haghi |
| author_sort | Shahram Najafzadeh |
| collection | DOAJ |
| description | By considering a fixed point in the punctured unit disk and using the $q$--derivative, a new subfamily of meromorphic and univalent functions is defined. Also, the first and second order {$q$--derivative} of meromorphic functions are introduced. Coefficient bounds, extreme points, radii of starlikeness and convexity are obtained. Furthermore, the convexity and preserving under convolution with some restrictions on parameters are investigated |
| first_indexed | 2024-03-07T23:48:07Z |
| format | Article |
| id | doaj.art-63b6a2153d294ab983710f7df77ba3b0 |
| institution | Directory Open Access Journal |
| issn | 2251-7952 2645-4505 |
| language | English |
| last_indexed | 2024-03-07T23:48:07Z |
| publishDate | 2023-11-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj.art-63b6a2153d294ab983710f7df77ba3b02024-02-19T09:29:20ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052023-11-01131617010.22103/jmmr.2023.20063.13183723Meromorphic functions with missing coefficients defined by $q$-derivativeShahram Najafzadeh0Tahereh Behpour1Ali Ebadian2Robab H. Haghi3Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, IranDepartment of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, IranDepartment of Mathematics, Urmia University, Urmia, IranDepartment of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, IranBy considering a fixed point in the punctured unit disk and using the $q$--derivative, a new subfamily of meromorphic and univalent functions is defined. Also, the first and second order {$q$--derivative} of meromorphic functions are introduced. Coefficient bounds, extreme points, radii of starlikeness and convexity are obtained. Furthermore, the convexity and preserving under convolution with some restrictions on parameters are investigatedhttps://jmmrc.uk.ac.ir/article_3723_3fcf43629a0acb35bf1b71a9c165b13c.pdfmeromophic functions$q$--derivativeconvex setextreme pointscoefficient estimate |
| spellingShingle | Shahram Najafzadeh Tahereh Behpour Ali Ebadian Robab H. Haghi Meromorphic functions with missing coefficients defined by $q$-derivative Journal of Mahani Mathematical Research meromophic functions $q$--derivative convex set extreme points coefficient estimate |
| title | Meromorphic functions with missing coefficients defined by $q$-derivative |
| title_full | Meromorphic functions with missing coefficients defined by $q$-derivative |
| title_fullStr | Meromorphic functions with missing coefficients defined by $q$-derivative |
| title_full_unstemmed | Meromorphic functions with missing coefficients defined by $q$-derivative |
| title_short | Meromorphic functions with missing coefficients defined by $q$-derivative |
| title_sort | meromorphic functions with missing coefficients defined by q derivative |
| topic | meromophic functions $q$--derivative convex set extreme points coefficient estimate |
| url | https://jmmrc.uk.ac.ir/article_3723_3fcf43629a0acb35bf1b71a9c165b13c.pdf |
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