Starlikeness and related properties of certain integral operator for multivalent functions
DOI:
https://doi.org/10.24193/subbmath.2017.0006Keywords:
p-valent starlike, convex and close-to-convex functions, strongly starlike function, convolution, integral operator.Abstract
In this paper, the authors introduce a new general integral opera- tor for multivalent functions. The new sufficient conditions for the operator Jp,γ,g (f1, f2, ..., fn) when γ = 1 is determined for the class of p-valently star- like, p-valently close-to-convex, uniformly p-valent close-to-convex and strongly starlike of order δ (0 < δ ≤ 1) in U. Our results generalize the results of Frasin [7].
Mathematics Subject Classification (2010): 30C45.
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