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Some Inclusion Relationships of Certain Subclasses of -Valent Functions Associated with a Family of Integral Operators

Some Inclusion Relationships of Certain Subclasses of -Valent Functions Associated with a Family of Integral Operators

By making use of the new integral operator , we introduce and investigate several new subclasses of -valent starlike, -valent convex, -valent close-to-convex, and -valent quasi-convex functions. In particular, we establish some inclusion relationships associated with the aforementioned integral operators. Some of the results established in this paper would provide …