Properties for certain class of p- valent functions related to Jackson’s operator
An inspiration from the fundamentals of (r,q) calculus to introduce an innovative subclass within the T(p) category of multivalent analytic functions, located within the confines of the open unit disk, is subjected to examination. The establishment of the subclass was achieved by employing Jackson’s...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2024
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| Online Access: | http://journalarticle.ukm.my/23611/ http://journalarticle.ukm.my/23611/1/SMS%2018.pdf |
| _version_ | 1848815892963524608 |
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| author | Alharayzeh, Ma’moun I.Y. Maslina Darus, Alzyoud, Faisal Y. Al-Zboon, Habis S. |
| author_facet | Alharayzeh, Ma’moun I.Y. Maslina Darus, Alzyoud, Faisal Y. Al-Zboon, Habis S. |
| author_sort | Alharayzeh, Ma’moun I.Y. |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | An inspiration from the fundamentals of (r,q) calculus to introduce an innovative subclass within the T(p) category of multivalent analytic functions, located within the confines of the open unit disk, is subjected to examination. The establishment of the subclass was achieved by employing Jackson’s derivative operator to enhance the comprehension of these analytical functions. This article began by investigating and establishing adequate criteria that dictate the inclusion of functions within this recently introduced subclass. To achieve this, a comprehensive coefficient characterization to facilitate a deeper comprehension of the subclass’s properties and behavior is derived. Further, various pertinent results that contribute to the broader understanding of the functions belonging to this subclass are explored. The findings and implications of these results are elucidated, underscoring the potential significance of this work in advancing the field of multivalent analytic functions and their applications. In conclusion, this paper broadens the scope of T(p) and sheds light on the distinct characteristics exhibited by the functions in this newly introduced subclass. This work sets the stage for further exploration and applications of (r,q) calculus and Jackson’s derivative operator in the domain of multivalent analytic functions. |
| first_indexed | 2025-11-15T00:57:12Z |
| format | Article |
| id | oai:generic.eprints.org:23611 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:57:12Z |
| publishDate | 2024 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:236112024-05-27T09:17:28Z http://journalarticle.ukm.my/23611/ Properties for certain class of p- valent functions related to Jackson’s operator Alharayzeh, Ma’moun I.Y. Maslina Darus, Alzyoud, Faisal Y. Al-Zboon, Habis S. An inspiration from the fundamentals of (r,q) calculus to introduce an innovative subclass within the T(p) category of multivalent analytic functions, located within the confines of the open unit disk, is subjected to examination. The establishment of the subclass was achieved by employing Jackson’s derivative operator to enhance the comprehension of these analytical functions. This article began by investigating and establishing adequate criteria that dictate the inclusion of functions within this recently introduced subclass. To achieve this, a comprehensive coefficient characterization to facilitate a deeper comprehension of the subclass’s properties and behavior is derived. Further, various pertinent results that contribute to the broader understanding of the functions belonging to this subclass are explored. The findings and implications of these results are elucidated, underscoring the potential significance of this work in advancing the field of multivalent analytic functions and their applications. In conclusion, this paper broadens the scope of T(p) and sheds light on the distinct characteristics exhibited by the functions in this newly introduced subclass. This work sets the stage for further exploration and applications of (r,q) calculus and Jackson’s derivative operator in the domain of multivalent analytic functions. Penerbit Universiti Kebangsaan Malaysia 2024 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/23611/1/SMS%2018.pdf Alharayzeh, Ma’moun I.Y. and Maslina Darus, and Alzyoud, Faisal Y. and Al-Zboon, Habis S. (2024) Properties for certain class of p- valent functions related to Jackson’s operator. Sains Malaysiana, 53 (1). pp. 231-238. ISSN 0126-6039 https://www.ukm.my/jsm/english_journals/vol53num1_2024/contentsVol53num1_2024.html |
| spellingShingle | Alharayzeh, Ma’moun I.Y. Maslina Darus, Alzyoud, Faisal Y. Al-Zboon, Habis S. Properties for certain class of p- valent functions related to Jackson’s operator |
| title | Properties for certain class of p- valent functions related to Jackson’s operator |
| title_full | Properties for certain class of p- valent functions related to Jackson’s operator |
| title_fullStr | Properties for certain class of p- valent functions related to Jackson’s operator |
| title_full_unstemmed | Properties for certain class of p- valent functions related to Jackson’s operator |
| title_short | Properties for certain class of p- valent functions related to Jackson’s operator |
| title_sort | properties for certain class of p- valent functions related to jackson’s operator |
| url | http://journalarticle.ukm.my/23611/ http://journalarticle.ukm.my/23611/ http://journalarticle.ukm.my/23611/1/SMS%2018.pdf |