Certain Subclass of Analytic and Multivalent Functions Defined by Using a Certain Fractional Derivative Operator
DOI:
https://doi.org/10.5644/SJM.09.1.05Keywords:
Multivalent functions, fractional calculusAbstract
Making use of a certain operator of fractional derivative, a new subclass $ F_{\lambda }(n,p,\alpha ,\mu )$ of analytic and p-valent functions with negative coefficients is introduced and studied here rather systematically. Coefficient estimates, a distortion theorem and radii of p-valently close-to-convexity, starlikeness and convexity are given. Finally several applications involving an integral operator and a certain fractional calculus operator are also considered.
2010 Mathematics Subject Classification. 30C4
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References
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