On a comprehensive class of analytic p-valent functions associated with shell-like curve and modified sigmoid function / Jamiu Olusegun Hamzat and Abiodun Tinuoye Oladipo
In this paper, the authors introduce and study a new class of analytic p-valent functions and its connections with some famous subclasses of analytic and univalent functions associated with shell-like curve and modified sigmoid function in the open unit disk E= {z : z |<1}. In particular, the coe...
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Universiti Teknologi MARA
2022
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my.uitm.ir.608112022-06-01T12:38:06Z https://ir.uitm.edu.my/id/eprint/60811/ On a comprehensive class of analytic p-valent functions associated with shell-like curve and modified sigmoid function / Jamiu Olusegun Hamzat and Abiodun Tinuoye Oladipo Hamzat, Jamiu Olusegun Oladipo, Abiodun Tinuoye Instruments and machines In this paper, the authors introduce and study a new class of analytic p-valent functions and its connections with some famous subclasses of analytic and univalent functions associated with shell-like curve and modified sigmoid function in the open unit disk E= {z : z |<1}. In particular, the coefficient condition for function f(z) belonging to the class Bp (λ, β) is investigated using a succinct mathematical approach. In addition, as a special case, convex functions of order 1/4 are shown to be in the aforementioned class Bp(λ, β) in E. With the aid of subordination pri nciple, the authors obtain the first three Taylor-Maclaurin coefficients |ap+1 |, |ap+2 | and |ap+3 | as well as the Fekete-Szegö functional |ap+2 -ηa2p+1| for functions f(z) belonging to the class Bp(λ, β, σ;p ̃) involving modified sigmoid function and associated with shell-like curve. Universiti Teknologi MARA 2022-04 Article PeerReviewed text en https://ir.uitm.edu.my/id/eprint/60811/1/60811.pdf On a comprehensive class of analytic p-valent functions associated with shell-like curve and modified sigmoid function / Jamiu Olusegun Hamzat and Abiodun Tinuoye Oladipo. (2022) Malaysian Journal of Computing (MJoC), 7 (1): 16. pp. 995-1010. ISSN (eISSN): 2600-8238 https://mjoc.uitm.edu.my/ |
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Instruments and machines Hamzat, Jamiu Olusegun Oladipo, Abiodun Tinuoye On a comprehensive class of analytic p-valent functions associated with shell-like curve and modified sigmoid function / Jamiu Olusegun Hamzat and Abiodun Tinuoye Oladipo |
| description |
In this paper, the authors introduce and study a new class of analytic p-valent functions and its connections with some famous subclasses of analytic and univalent functions associated with shell-like curve and modified sigmoid function in the open unit disk E= {z : z |<1}. In particular, the coefficient condition for function f(z) belonging to the class Bp (λ, β) is investigated using a succinct mathematical approach. In addition, as a special case, convex functions of order 1/4 are shown to be in the aforementioned class Bp(λ, β) in E. With the aid of subordination pri nciple, the authors obtain the first three Taylor-Maclaurin coefficients |ap+1 |, |ap+2 | and |ap+3 | as well as the Fekete-Szegö functional |ap+2 -ηa2p+1| for functions f(z) belonging to the class Bp(λ, β, σ;p ̃) involving modified sigmoid function and associated with shell-like curve. |
| format |
Article |
| author |
Hamzat, Jamiu Olusegun Oladipo, Abiodun Tinuoye |
| author_facet |
Hamzat, Jamiu Olusegun Oladipo, Abiodun Tinuoye |
| author_sort |
Hamzat, Jamiu Olusegun |
| title |
On a comprehensive class of analytic p-valent functions associated with shell-like curve and modified sigmoid function / Jamiu Olusegun Hamzat and Abiodun Tinuoye Oladipo |
| title_short |
On a comprehensive class of analytic p-valent functions associated with shell-like curve and modified sigmoid function / Jamiu Olusegun Hamzat and Abiodun Tinuoye Oladipo |
| title_full |
On a comprehensive class of analytic p-valent functions associated with shell-like curve and modified sigmoid function / Jamiu Olusegun Hamzat and Abiodun Tinuoye Oladipo |
| title_fullStr |
On a comprehensive class of analytic p-valent functions associated with shell-like curve and modified sigmoid function / Jamiu Olusegun Hamzat and Abiodun Tinuoye Oladipo |
| title_full_unstemmed |
On a comprehensive class of analytic p-valent functions associated with shell-like curve and modified sigmoid function / Jamiu Olusegun Hamzat and Abiodun Tinuoye Oladipo |
| title_sort |
on a comprehensive class of analytic p-valent functions associated with shell-like curve and modified sigmoid function / jamiu olusegun hamzat and abiodun tinuoye oladipo |
| publisher |
Universiti Teknologi MARA |
| publishDate |
2022 |
| url |
https://ir.uitm.edu.my/id/eprint/60811/1/60811.pdf https://ir.uitm.edu.my/id/eprint/60811/ https://mjoc.uitm.edu.my/ |
| _version_ |
1735389659029045248 |
| score |
13.211869 |