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In consideration of fractional calculus and integral operator, some complex equations and/or inequalities specified by certain multivalently analytic functions in the unit open disk are first presented and then certain consequences in relation with analytic and geometric properties of certain multivalent functions are pointed out. 2010 Mathematics Subject Classification: 26A33, 33E12, 30C80, 26E35, 30C45.

A NOTE ON SOME ANALYTIC AND GEOMETRIC PROPERTIES OF CERTAIN MULTIVALENT FUNCTIONS