On some interesting properties for a new subclass of multivalent functions
In this paper, we establish a new subfamily ℘p(τ, α, β) of multivalent functions with negative coefficients that involve certain linear operator. We first investigate sharp results concerning coefficients, then obtain the distortion theorem, radius of convexity and close-to-convexity, closure theore...
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| Format: | Article |
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World Scientific Publishing
2016
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| _version_ | 1796960429682982912 |
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| author | Ahmad, M.Z. Ibrahim, R.W. Al-Janaby, H.F. |
| author_facet | Ahmad, M.Z. Ibrahim, R.W. Al-Janaby, H.F. |
| author_sort | Ahmad, M.Z. |
| collection | UM |
| description | In this paper, we establish a new subfamily ℘p(τ, α, β) of multivalent functions with negative coefficients that involve certain linear operator. We first investigate sharp results concerning coefficients, then obtain the distortion theorem, radius of convexity and close-to-convexity, closure theorem, neighborhood property, partial sums and integral representation. |
| first_indexed | 2024-03-06T05:44:28Z |
| format | Article |
| id | um.eprints-18108 |
| institution | Universiti Malaya |
| last_indexed | 2024-03-06T05:44:28Z |
| publishDate | 2016 |
| publisher | World Scientific Publishing |
| record_format | dspace |
| spelling | um.eprints-181082017-10-24T08:26:54Z http://eprints.um.edu.my/18108/ On some interesting properties for a new subclass of multivalent functions Ahmad, M.Z. Ibrahim, R.W. Al-Janaby, H.F. QA Mathematics QA75 Electronic computers. Computer science In this paper, we establish a new subfamily ℘p(τ, α, β) of multivalent functions with negative coefficients that involve certain linear operator. We first investigate sharp results concerning coefficients, then obtain the distortion theorem, radius of convexity and close-to-convexity, closure theorem, neighborhood property, partial sums and integral representation. World Scientific Publishing 2016 Article PeerReviewed Ahmad, M.Z. and Ibrahim, R.W. and Al-Janaby, H.F. (2016) On some interesting properties for a new subclass of multivalent functions. Asian-European Journal of Mathematics, 09 (01). p. 1650027. ISSN 1793-5571, DOI https://doi.org/10.1142/S1793557116500273 <https://doi.org/10.1142/S1793557116500273>. http://dx.doi.org/10.1142/S1793557116500273 doi:10.1142/S1793557116500273 |
| spellingShingle | QA Mathematics QA75 Electronic computers. Computer science Ahmad, M.Z. Ibrahim, R.W. Al-Janaby, H.F. On some interesting properties for a new subclass of multivalent functions |
| title | On some interesting properties for a new subclass of multivalent functions |
| title_full | On some interesting properties for a new subclass of multivalent functions |
| title_fullStr | On some interesting properties for a new subclass of multivalent functions |
| title_full_unstemmed | On some interesting properties for a new subclass of multivalent functions |
| title_short | On some interesting properties for a new subclass of multivalent functions |
| title_sort | on some interesting properties for a new subclass of multivalent functions |
| topic | QA Mathematics QA75 Electronic computers. Computer science |
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