Harmonic functions which are starlike of order β with respect to other points
Let H denote the class of functions f which are harmonic and univalent in the open unit disc D = {z : |z| < 1}. This paper defines and investigates a family of complex-valued harmonic functions that are orientation preserving and univalent in D and are related to the functions starlike of order β...
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| Format: | Article |
| Language: | English English |
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Hikari Ltd
2008
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| Online Access: | https://eprints.ums.edu.my/id/eprint/33611/2/Harmonic%20functions%20which%20are%20starlike%20of%20order%20%CE%B2%20with%20respect%20to%20other%20points.ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/33611/1/Harmonic%20Functions%20which%20are%20Starlike%20of%20Order%20%C3%9F%20with%20Respect%20to%20other%20Points.pdf |
| _version_ | 1825714908860252160 |
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| author | Aini Janteng Suzeini Abdul Halim Maslina Darus |
| author_facet | Aini Janteng Suzeini Abdul Halim Maslina Darus |
| author_sort | Aini Janteng |
| collection | UMS |
| description | Let H denote the class of functions f which are harmonic and univalent in the open unit disc D = {z : |z| < 1}. This paper defines and investigates a family of complex-valued harmonic functions that are orientation preserving and univalent in D and are related to the functions starlike of order β(0 ≤ β < 1), with respect to other points. We obtain growth result, extreme points, convolution and convex combinations for the above harmonic functions. |
| first_indexed | 2024-03-06T03:18:44Z |
| format | Article |
| id | ums.eprints-33611 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:18:44Z |
| publishDate | 2008 |
| publisher | Hikari Ltd |
| record_format | dspace |
| spelling | ums.eprints-336112022-08-02T02:35:33Z https://eprints.ums.edu.my/id/eprint/33611/ Harmonic functions which are starlike of order β with respect to other points Aini Janteng Suzeini Abdul Halim Maslina Darus QA1-939 Mathematics Let H denote the class of functions f which are harmonic and univalent in the open unit disc D = {z : |z| < 1}. This paper defines and investigates a family of complex-valued harmonic functions that are orientation preserving and univalent in D and are related to the functions starlike of order β(0 ≤ β < 1), with respect to other points. We obtain growth result, extreme points, convolution and convex combinations for the above harmonic functions. Hikari Ltd 2008 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/33611/2/Harmonic%20functions%20which%20are%20starlike%20of%20order%20%CE%B2%20with%20respect%20to%20other%20points.ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/33611/1/Harmonic%20Functions%20which%20are%20Starlike%20of%20Order%20%C3%9F%20with%20Respect%20to%20other%20Points.pdf Aini Janteng and Suzeini Abdul Halim and Maslina Darus (2008) Harmonic functions which are starlike of order β with respect to other points. International Journal of Contemporary Mathematical Sciences, 3. pp. 501-509. ISSN 1312-7586 https://www.researchgate.net/profile/Suzeini-Abdul-Halim/publication/237751617_Harmonic_Functions_which_are_Starlike_of_Order_b_with_Respect_to_other_Points/links/00463532a584dc8c55000000/Harmonic-Functions-which-are-Starlike-of-Order-b-with-Respect-to-other-Points.pdf https://doi.org/10.12988/ijcms https://doi.org/10.12988/ijcms |
| spellingShingle | QA1-939 Mathematics Aini Janteng Suzeini Abdul Halim Maslina Darus Harmonic functions which are starlike of order β with respect to other points |
| title | Harmonic functions which are starlike of order β with respect to other points |
| title_full | Harmonic functions which are starlike of order β with respect to other points |
| title_fullStr | Harmonic functions which are starlike of order β with respect to other points |
| title_full_unstemmed | Harmonic functions which are starlike of order β with respect to other points |
| title_short | Harmonic functions which are starlike of order β with respect to other points |
| title_sort | harmonic functions which are starlike of order β with respect to other points |
| topic | QA1-939 Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/33611/2/Harmonic%20functions%20which%20are%20starlike%20of%20order%20%CE%B2%20with%20respect%20to%20other%20points.ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/33611/1/Harmonic%20Functions%20which%20are%20Starlike%20of%20Order%20%C3%9F%20with%20Respect%20to%20other%20Points.pdf |
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