Some properties of subclass of multivalent functions associated with a generalized differential operator

oleh: Haewon Byeon, Manivannan Balamurugan, T. Stalin, Vediyappan Govindan, Junaid Ahmad, Walid Emam

Format: Article
Diterbitkan: Nature Portfolio 2024-04-01

Deskripsi

Abstract In this paper, the new subclass $$\mathcal {S}^n_{b,\lambda ,\delta ,p} ({\alpha })$$ S b , λ , δ , p n ( α ) of a linear differential operator’s $$\mathcal {N}_{\lambda ,\delta ,p}^{n}f(\zeta )$$ N λ , δ , p n f ( ζ ) associated with multivalent analytical function has been introduced. Further, the coefficient inequalities, extreme points for the extremal function, sharpness of the growth and distortion bounds, partial sums, starlikeness, and convexity of the subclass is investigated.