Subclass of p-valent Function with Negative Coefficients Applying Generalized Al-Oboudi Differential Operator
Open Access
- 11 January 2021
- journal article
- Published by Earthline Publishers in Earthline Journal of Mathematical Sciences
- Vol. 6 (1), 87-103
- https://doi.org/10.34198/ejms.6121.87103
Abstract
In this paper we introduce a new subclass $\mathcal{R}^*(p,g,\psi,\varrho,\beta,\phi,\gamma,\zeta)$ of $p$-valent functions with negative coefficient defined by Hadamard product associated with a generalized differential operator. Radii of close-to-convexity, starlikeness and convexity of the class $\mathcal{R}^*(p,g,\psi,\varrho,\beta,\phi,\gamma,\zeta)$ are obtained. Also, distortion theorem, growth theorem and coefficient inequalities are established.
Keywords
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