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For  f  analytic in the unit disk    $$\mathbb {D}$$   D    , of the form    $$f(z)=z^p+\cdots $$    f   (  z  )   =   z  p   +  ⋯     , we consider some consequences of strongly starlikeness of    $$f^{(p-1)}(z)/p!$$     f   (  p  -  1  )     (  z  )   /  p  !     .

On a successive property of strongly starlikeness for multivalent functions