New differential operator for analytic univalent functions associated with binomial series

Rossdy, Munirah; Omar, Rashidah; Soh, Shaharuddin Cik

doi:10.1063/5.0171850

4th Symposium on Industrial Science and Technology (Sistec2022)

2024

DOI: 10.1063/5.0171850

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New differential operator for analytic univalent functions associated with binomial series

Munirah Rossdy,

Rashidah Omar,

Shaharuddin Cik Soh

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A New Class of Univalent Functions Defined by Differential Operator

Hasoon,

Al-Ziadi

2024

EJMS

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In the present work, we submit and study a new class $\mathcal{S}_{\lambda, \alpha, b}^{z, m, t}(\beta, \gamma, \omega, \mu)$ containing analytic univalent functions defined by new differential operator $D_{\lambda, \alpha}^{z, m, t}$ in the open unit disk $E=\{s \in \mathbb{C}:|s|<1\}$. We get some geometric properties, such as, coefficient estimate, growth and distortion theorems, convex set, radii of convexity and starlikeness, weighted mean, arithmetic mean and partial sums for functions belonging to the class $\mathcal{S}_{\lambda, \alpha, b}^{z, m, t}(\beta, \gamma, \omega, \mu)$.

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A New Class of Univalent Functions Defined by Differential Operator

Hasoon,

Al-Ziadi

2024

EJMS

View full text Add to dashboard Cite

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New differential operator for analytic univalent functions associated with binomial series

Cited by 1 publication

References 24 publications

A New Class of Univalent Functions Defined by Differential Operator

A New Class of Univalent Functions Defined by Differential Operator

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