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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 3

Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function

Sondekola Rudra SWAMY
Serap BULUT
Yerragunta SAILAJA
Sayfa
710–720
Yayın Tarihi
2022-10-18
DOI
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Some interesting consequences of the results established here are also indicated.

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Amaç & Hipotez:The aim of this paper is to introduce some special families of holomorphic and S\u{a}l\u{a}gean type bi-univalent functions by making use of Horadam polynomials involving the modified sigmoid activation function $\phi(s)=\frac{2}{1+e^{-s} },\,s\geq0$ in the open unit disc $\mathfrak{D}$.
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Temel Bulgular & Veri:We investigate the upper bounds on initial coefficients for functions of the form $g_{\phi}(z)=z+\sum\limits_{j=2}^{\infty}\phi(s)d_jz^j$, in these newly introduced special families and also discuss the Fekete-Szegö problem.
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Sonuç & Katkı:Some interesting consequences of the results established here are also indicated.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Holomorphic function · Bi-univalent function · Fekete - Szegö inequality

Abstract

The aim of this paper is to introduce some special families of holomorphic and S\u{a}l\u{a}gean type bi-univalent functions by making use of Horadam polynomials involving the modified sigmoid activation function $\phi(s)=\frac{2}{1+e^{-s} },\,s\geq0$ in the open unit disc $\mathfrak{D}$. We investigate the upper bounds on initial coefficients for functions of the form $g_{\phi}(z)=z+\sum\limits_{j=2}^{\infty}\phi(s)d_jz^j$, in these newly introduced special families and also discuss the Fekete-Szegö problem. Some interesting consequences of the results established here are also indicated.

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Bu Makaleye Atıf Yap

SWAMY, S. R., BULUT, S., SAILAJA, Y. (2022). Some special families of holomorphic and Sălăgean type bi-univalent functions associated with Horadam polynomials involving a modified sigmoid activation function. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 3, 710–720. https://ajindex.com/articles/529969

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Kaynakça (16)

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