Coefficient Bounds for Al-Oboudi Type Bi-univalent Functions based on a Modified Sigmoid Activation Function and Horadam Polynomials
Keyword(s):
Using the Al-Oboudi type operator, we present and investigate two special families of bi-univalent functions in $\mathfrak{D}$, an open unit disc, based on $\phi(s)=\frac{2}{1+e^{-s} },\,s\geq0$, a modified sigmoid activation function (MSAF) and Horadam polynomials. We estimate the initial coefficients bounds for functions of the type $g_{\phi}(z)=z+\sum\limits_{j=2}^{\infty}\phi(s)d_jz^j$ in these families. Continuing the study on the initial cosfficients of these families, we obtain the functional of Fekete-Szeg\"o for each of the two families. Furthermore, we present few interesting observations of the results investigated.
Keyword(s):
2019 ◽
Vol 11
(1)
◽
pp. 5-17
◽
Keyword(s):
Keyword(s):
1973 ◽
Vol 25
(2)
◽
pp. 420-425
◽
Keyword(s):
Keyword(s):
Keyword(s):
Keyword(s):
Keyword(s):