Certain subclasses of multivalent functions defined by new multiplier transformations

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 $\mathrm{{\mathcal{J}}}_{p}^{\delta }(\lambda ,\mu ,l),$ two new subclasses $\mathcal{P}_{\lambda ,\mu ,l}^{\delta }(A,B;\sigma ,p)$ and $\widetilde{\mathcal{P}}_{\lambda ,\mu ,l}^{\delta }(A,B;\sigma ,p)$\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 $\mathcal{P}_{\lambda ,\mu ,l}^{\delta }(A,B;\sigma ,p)$ and $\widetilde{\mathcal{P}}_{\lambda ,\mu ,l}^{\delta }(A,B;\sigma ,p)$ 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

Subclasses of meromorphically multivalent functions defined by a differential operator

In this paper we introduce and study two new subclasses \Sigma_{\lambda\mu mp}(\alpha,\beta)$and$\Sigma^{+}_{\lambda\mu mp}(\alpha,\beta)$of meromorphically multivalent functions which are defined by means of a new differential operator. Some results connected to subordination properties, coefficient estimates, convolution properties, integral representation, distortion theorems are obtained. We also extend the familiar concept of$% (n,\delta)-$neighborhoods of analytic functions to these subclasses of meromorphically multivalent functions

On a Subclass of Meromorphic Multivalent Functions

In this paper, we introduce a new class of meromorphic multivalent functions in the  puncturedunit discU*{z∈c:0 <|z|<1} . We obtain various resultsincluding coefficients inequality, convex set, radius of starlikeness and convexity, δ-neighborhoods , arithmetic mean and extreme points

On a New Subclass of Multivalent Functions Defined by Hadamard Product

In this paper we introduce and study the class of multivalent functions in the open unit disk U= {Z  c1|z|<1} which are defined by the convolution (or Hadamard product). Then we give the coefficient inequality, closure theorems, neighborhoods of theclass ,partial sums, weighted mean theorem, convolution, distortion and growth bounds

Inclusion and neighborhood properties of certain subclasses of p-valent functions of complex order defined by convolution

In this paper we introduce and investigate three new subclasses of $p$-valent analytic functions by using the linear operator $D_{\lambda,p}^m(f*g)(z)$. The various results obtained here for each of these function classes include coefficient bounds, distortion inequalities and associated inclusion relations for $(n,\theta)$-neighborhoods of subclasses of analytic and multivalent functions with negative coefficients, which are defined by means of a non-homogenous differential equation