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In the present paper an extended fractional differintegral operator Ω (λ,p) z (−∞ < λ < p + 1; p ∈ N), suitable for the study of multivalent functions is introduced. Various mapping properties and inclusion relationships between certain subclasses of multivalent functions are investigated by applying the techniques of differential subordination. Relevant connections of the definitions and results presented in this paper with those obtained in several earlier works on the subject are also pointed out.

The authors investigate various inclusion and other properties of several subclasses of the class A p of normalized p-valent analytic functions in the open unit disk, which are defined here by means of a certain linear operator. Problems involving generalized neighborhoods of analytic functions in the class A p are investigated. Finally, some applications of fractional calculus operators are considered.  2005 Elsevier Inc. All rights reserved.

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