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The studied theme in this monography is part of the geometric
function theory domain. An important problem of the geometric
theory of analytic functions is to study differential operators and
their properties on different classes of analytic functions. A
particular chapter in the differential operators study is to study
the different geometric properties of some classes of analytic
functions defined by these operators. The differential
subordinations, superordinations, strong subordinations and strong
superordinations have an important place in defining some new
classes of holomorphic functions that are obtained using some
generalizations of known differential operators. This monography
presents the author' research regarding the differential
subordinations, superordinations, strong subordinations and strong
superordinations using some differential operators, obtaining new
subclasses of analytic functions. This monography is addressed to
researchers and graduate students for research, seminars and
advanced graduate courses in complex analysis.
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