The (p. q)-analogue of sigmoid function in the mirror of bi-univalent functions coupled with subordination

	The (p. q)-analogue of sigmoid function in the mirror of bi-univalent functions coupled with subordination
International Journal of Nonlinear Analysis and Applications
مقاله 78، دوره 13، شماره 2، مهر 2022، صفحه 953-961 اصل مقاله (422.92 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21063.2227
نویسندگان
S. O. Olatunji¹؛ Trailokya Panigrahi^* ²
¹Department of Mathematical Sciences, Federal University of Technology, P.M.B.704, Akure, Nigeria
²Institute of Mathematics and Applications, Andharua, Bhubaneswar-751029, Odisha, India
چکیده
The aim of this study is to introduce the new subclasses of bi-univalent functions coupled with subordination in the mirror of $(p,q)$-analogue of the modified sigmoid function in the unit disc $\mathbb{U}=\left\lbrace z\in \mathbb{C}:\|z\|<1\right\rbrace $. The first two immediate Taylor-Maclaurin coefficients for the function belonging to these newly introduced classes are obtained. The results are new and a number of corollaries are developed by varying the parameters involved.
کلیدواژه‌ها
Analytic function؛ Bi-univalent function؛ Coefficient bounds؛ (p؛ q)-analogue of the sigmoid function
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