Some special families of holomorphic and Al-Oboudi type bi-univalent functions related to k-Fibonacci numbers involving modified Sigmoid activation function
Autor: | Basem Aref Frasin, S. R. Swamy, J. Nirmala |
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Rok vydání: | 2020 |
Předmět: | |
Zdroj: | Afrika Matematika. 32:631-643 |
ISSN: | 2190-7668 1012-9405 |
Popis: | The aim of the present paper is to introduce some special families of holomorphic and Al-Oboudi type bi-univalent functions related to k-Fibonacci numbers involving modified Sigmoid activation function $$\phi (s)= \frac{2}{1+e^{-s} },\,s\ge 0$$ in the open unit disc $${\mathfrak {D}}$$ . We investigate the upper bounds on initial coefficients for functions of the form $$g_{\phi }(z)=z+\sum \nolimits _{j=2}^{\infty }\phi (s)d_jz^j$$ , in these newly introduced special families and also discuss the Fekete–Szego problem. Some interesting consequences of the results established here are also indicated. |
Databáze: | OpenAIRE |
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