Abstract
We introduce a new form of generalized integral operator defined on the class of analytic functionsA0. By making use of this novel integral operator, we give the convexity of other integral operators. We also briefly indicate the relevant connections of our presented results to the formerly reported results. Furthermore, other interesting properties are also discussed.
Highlights
In the field of geometric function theory, the class of univalent functions [1, 2] has been mainly studied
We introduce a new form of generalized integral operator defined on the class of analytic functions A0
One of the generalizations of univalent functions is the theory of multivalent functions or p-valent functions
Summary
In the field of geometric function theory, the class of univalent functions [1, 2] has been mainly studied. We introduce a new form of generalized integral operator defined on the class of analytic functions A0. Let A0 be the class of analytic functions f in D of the following form:
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