On spirallike functions involving a convolution structure
Abstract
By using a subordination condition, a new class Sp (b; g; h) of
p-valent functions involving a convolution structure is dened. Among others,
this class includes the -spirallike and -Robertson classes of functions. Based
on rst-order dierential subordination and its properties, various results pertaining
to the class Sp (b; g; h) and its subclass Sp (b; g; A;B) are derived.
Several consequences of our results yield certain new results. We also point
out the relationship with other known results.
Keywords
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