In this paper, we introduce a new subclass of harmonic functions f=s+¯tf=s+t¯ in the open unit disk U={z∈C:|z|<1}U={z∈C:|z|<1} satisfying
${\text{Re}}\left[ \gamma \mathfrak{s}^{\prime }(z)+\delta z\mathfrak{s}^{\prime \prime }(z)+\left( \frac{\delta -\gamma }{2}\right) z^{2}\mathfrak{s}^{\prime \prime \prime }\left( z\right) -\lambda \right]>\left \vert \gamma \mathfrak{t}^{\prime }(z)+\delta z\mathfrak{t}^{\prime\prime }(z)+\left( \frac{\delta -\gamma }{2}\right) z^{2}\mathfrak{t}^{\prime \prime \prime }\left( z\right) \right \vert,$
where 0≤λ<γ≤δ,z∈U.0≤λ<γ≤δ,z∈U. We determine several properties of this class such as close-to-convexity, coefficient bounds, and growth estimates. We also prove that this class is closed under convex combination and convolution of its members. Furthermore, we investigate the properties of fully starlikeness and fully convexity of the class.
harmonic univalent close-to-convex coefficient estimates convolution
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 14 Şubat 2022 |
Yayımlandığı Sayı | Yıl 2022 Cilt: 51 Sayı: 1 |