Certain subclasses of meromorphically $q$-starlike functions associated with the $q$-derivative operators
UDC 517.5 The purpose of the present paper is to establish several general results concerning the partial sums of meromorphically starlike functions defined here by means of a certain class of $q$-derivative (or $q$-difference) operators. The familiar concept of neighborhood for meromorphic function...
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| Date: | 2021 |
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| Main Authors: | , , , , , , , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2021
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/814 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.5
The purpose of the present paper is to establish several general results concerning the partial sums of meromorphically starlike functions defined here by means of a certain class of $q$-derivative (or $q$-difference) operators. The familiar concept of neighborhood for meromorphic functions are also considered. Moreover, by using a Ruscheweyh-type $q$-derivative operator, we define and study another new class of functions emerging from the class of normalized meromorphic functions.
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| DOI: | 10.37863/umzh.v73i9.814 |