Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator
In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,α, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials. For functions in this class, we derive the estimations for the initial Taylor–Maclaurin coefficients a2 and a3. Moreov...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2023/2573044 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832559551150292992 |
|---|---|
| author | Waleed Al-Rawashdeh |
| author_facet | Waleed Al-Rawashdeh |
| author_sort | Waleed Al-Rawashdeh |
| collection | DOAJ |
| description | In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,α, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials. For functions in this class, we derive the estimations for the initial Taylor–Maclaurin coefficients a2 and a3. Moreover, we obtain the classical Fekete–Szegö inequality of functions belonging to this class. |
| format | Article |
| id | doaj-art-481502bf18b3465087ef1a8553bf873c |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-481502bf18b3465087ef1a8553bf873c2025-02-03T01:29:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252023-01-01202310.1155/2023/2573044Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh OperatorWaleed Al-Rawashdeh0Department of MathematicsIn this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,α, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials. For functions in this class, we derive the estimations for the initial Taylor–Maclaurin coefficients a2 and a3. Moreover, we obtain the classical Fekete–Szegö inequality of functions belonging to this class.http://dx.doi.org/10.1155/2023/2573044 |
| spellingShingle | Waleed Al-Rawashdeh Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator International Journal of Mathematics and Mathematical Sciences |
| title | Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator |
| title_full | Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator |
| title_fullStr | Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator |
| title_full_unstemmed | Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator |
| title_short | Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator |
| title_sort | horadam polynomials and a class of biunivalent functions defined by ruscheweyh operator |
| url | http://dx.doi.org/10.1155/2023/2573044 |
| work_keys_str_mv | AT waleedalrawashdeh horadampolynomialsandaclassofbiunivalentfunctionsdefinedbyruscheweyhoperator |