On Harmonic Functions Defined by Differential Operator with Respect to k-Symmetric Points
We introduce new classes MHkσ,s(λ,δ,α) and M¯Hkσ,s(λ,δ,α) of harmonic univalent functions with respect to k-symmetric points defined by differential operator. We determine a sufficient coefficient condition, representation theorem, and distortion theorem.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/628972 |
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| _version_ | 1832561201773543424 |
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| author | Afaf A. Ali Abubaker Maslina Darus |
| author_facet | Afaf A. Ali Abubaker Maslina Darus |
| author_sort | Afaf A. Ali Abubaker |
| collection | DOAJ |
| description | We introduce new classes MHkσ,s(λ,δ,α) and M¯Hkσ,s(λ,δ,α) of harmonic univalent functions with respect to k-symmetric points defined by differential operator. We determine a sufficient coefficient condition, representation theorem, and distortion theorem. |
| format | Article |
| id | doaj-art-183f64a984254199997aa6732596cb8e |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-183f64a984254199997aa6732596cb8e2025-02-03T01:25:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/628972628972On Harmonic Functions Defined by Differential Operator with Respect to k-Symmetric PointsAfaf A. Ali Abubaker0Maslina Darus1School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor D. Ehsan, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor D. Ehsan, MalaysiaWe introduce new classes MHkσ,s(λ,δ,α) and M¯Hkσ,s(λ,δ,α) of harmonic univalent functions with respect to k-symmetric points defined by differential operator. We determine a sufficient coefficient condition, representation theorem, and distortion theorem.http://dx.doi.org/10.1155/2014/628972 |
| spellingShingle | Afaf A. Ali Abubaker Maslina Darus On Harmonic Functions Defined by Differential Operator with Respect to k-Symmetric Points International Journal of Mathematics and Mathematical Sciences |
| title | On Harmonic Functions Defined by Differential Operator with Respect to k-Symmetric Points |
| title_full | On Harmonic Functions Defined by Differential Operator with Respect to k-Symmetric Points |
| title_fullStr | On Harmonic Functions Defined by Differential Operator with Respect to k-Symmetric Points |
| title_full_unstemmed | On Harmonic Functions Defined by Differential Operator with Respect to k-Symmetric Points |
| title_short | On Harmonic Functions Defined by Differential Operator with Respect to k-Symmetric Points |
| title_sort | on harmonic functions defined by differential operator with respect to k symmetric points |
| url | http://dx.doi.org/10.1155/2014/628972 |
| work_keys_str_mv | AT afafaaliabubaker onharmonicfunctionsdefinedbydifferentialoperatorwithrespecttoksymmetricpoints AT maslinadarus onharmonicfunctionsdefinedbydifferentialoperatorwithrespecttoksymmetricpoints |