In the present paper the new multiplier transformations
\mathrm{{\mathcal{J}% }}_{p}^{\delta }(\lambda ,\mu ,l)(\delta ,l\geq
0,\;\lambda \geq \mu \geq 0;\;p\in \mathrm{% }%\mathbb{N} )} of multivalent
functions is defined. Making use of the operator Jpδ​(λ,μ,l), two new subclasses Pλ,μ,lδ​(A,B;σ,p) and Pλ,μ,lδ​(A,B;σ,p)\textbf{\ }of multivalent analytic
functions are introduced and investigated in the open unit disk. Some
interesting relations and characteristics such as inclusion relationships,
neighborhoods, partial sums, some applications of fractional calculus and
quasi-convolution properties of functions belonging to each of these subclasses
Pλ,μ,lδ​(A,B;σ,p) and
Pλ,μ,lδ​(A,B;σ,p) are
investigated. Relevant connections of the definitions and results presented in
this paper with those obtained in several earlier works on the subject are also
pointed out
In this paper we introduce and study two new subclasses \Sigma_{\lambda\mu
mp}(\alpha,\beta)and\Sigma^{+}_{\lambda\mu mp}(\alpha,\beta)ofmeromorphicallymultivalentfunctionswhicharedefinedbymeansofanewdifferentialoperator.Someresultsconnectedtosubordinationproperties,coefficientestimates,convolutionproperties,integralrepresentation,distortiontheoremsareobtained.Wealsoextendthefamiliarconceptof%
(n,\delta)-$neighborhoods of analytic functions to these subclasses of
meromorphically multivalent functions