A Subclass of Meromorphic Multivalent Functions Generated by a Symmetric <i>q</i>-Difference Operator
This paper presents a novel symmetric <i>q</i>-analogue differential operator designed for meromorphic multivalent functions analytic in the punctured open unit disk. Employing this operator, a new family of meromorphic multivalent functions is proposed and examined in this work. A detai...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-05-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/13/11/1797 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849721861607260160 |
|---|---|
| author | Vasile-Aurel Caus |
| author_facet | Vasile-Aurel Caus |
| author_sort | Vasile-Aurel Caus |
| collection | DOAJ |
| description | This paper presents a novel symmetric <i>q</i>-analogue differential operator designed for meromorphic multivalent functions analytic in the punctured open unit disk. Employing this operator, a new family of meromorphic multivalent functions is proposed and examined in this work. A detailed investigation of this newly defined class of meromorphic multivalent functions is presented, highlighting key geometric characteristics, including sufficiency criteria, coefficient inequalities, distortion and growth behavior, as well as the radii of starlikeness and convexity. |
| format | Article |
| id | doaj-art-0bf5acf980214e45b9765ccddc19bc4d |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-0bf5acf980214e45b9765ccddc19bc4d2025-08-20T03:11:32ZengMDPI AGMathematics2227-73902025-05-011311179710.3390/math13111797A Subclass of Meromorphic Multivalent Functions Generated by a Symmetric <i>q</i>-Difference OperatorVasile-Aurel Caus0Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, RomaniaThis paper presents a novel symmetric <i>q</i>-analogue differential operator designed for meromorphic multivalent functions analytic in the punctured open unit disk. Employing this operator, a new family of meromorphic multivalent functions is proposed and examined in this work. A detailed investigation of this newly defined class of meromorphic multivalent functions is presented, highlighting key geometric characteristics, including sufficiency criteria, coefficient inequalities, distortion and growth behavior, as well as the radii of starlikeness and convexity.https://www.mdpi.com/2227-7390/13/11/1797meromorphic multivalent functionsJanowski functionssymmetric <i>q</i>-operator functionsapproximation theory |
| spellingShingle | Vasile-Aurel Caus A Subclass of Meromorphic Multivalent Functions Generated by a Symmetric <i>q</i>-Difference Operator Mathematics meromorphic multivalent functions Janowski functions symmetric <i>q</i>-operator functions approximation theory |
| title | A Subclass of Meromorphic Multivalent Functions Generated by a Symmetric <i>q</i>-Difference Operator |
| title_full | A Subclass of Meromorphic Multivalent Functions Generated by a Symmetric <i>q</i>-Difference Operator |
| title_fullStr | A Subclass of Meromorphic Multivalent Functions Generated by a Symmetric <i>q</i>-Difference Operator |
| title_full_unstemmed | A Subclass of Meromorphic Multivalent Functions Generated by a Symmetric <i>q</i>-Difference Operator |
| title_short | A Subclass of Meromorphic Multivalent Functions Generated by a Symmetric <i>q</i>-Difference Operator |
| title_sort | subclass of meromorphic multivalent functions generated by a symmetric i q i difference operator |
| topic | meromorphic multivalent functions Janowski functions symmetric <i>q</i>-operator functions approximation theory |
| url | https://www.mdpi.com/2227-7390/13/11/1797 |
| work_keys_str_mv | AT vasileaurelcaus asubclassofmeromorphicmultivalentfunctionsgeneratedbyasymmetriciqidifferenceoperator AT vasileaurelcaus subclassofmeromorphicmultivalentfunctionsgeneratedbyasymmetriciqidifferenceoperator |