Gamma-Bazilevic functions related with generalized telephone numbers
Abstrak
The purpose of this paper is to consider coefficient estimates in a class of functions $\mathfrak{G}_{\vartheta}^κ(\mathcal{X},\varkappa)$ consisting of analytic functions $f$ normalized by $f(0)=f'(0)-1=0$\ in the open unit disk $Δ=\{ z:z\in \mathbb{C}\quad \text{and}\quad \left\vert z\right\vert <1\}$ subordinating generalized telephone numbers, to derive certain coefficient estimates $a_2,a_3$ and Fekete-Szegö inequality for $f\in\mathfrak{G}_{\vartheta}^κ(\mathcal{X},\varkappa)$. A similar results have been done for the function $ f^{-1} $ and $\log\dfrac{f(z)}{z}.$Similarly application of our results to certain functions defined by using convolution products with a normalized analytic function is given, and in particular we state Fekete-Szeg"{o} inequalities for subclasses described through Poisson Borel and Pascal distribution series.
Topik & Kata Kunci
Penulis (3)
Gangadharan Murugusundaramoorthy
kaliappan Vijaya
Hijaz Ahmad
Akses Cepat
- Tahun Terbit
- 2023
- Bahasa
- en
- Sumber Database
- arXiv
- Akses
- Open Access ✓