‎Making use of a linear operator‎, ‎which is defined here by means of‎ ‎the Hadamard product (or convolution)‎, ‎we define a subclass‎ ‎$mathcal {T}_{p}(a‎, ‎c‎, ‎gamma‎, ‎lambda; h)$ of meromorphically‎ ‎multivalent functions‎. ‎The main object of this paper is to‎ ‎investigate some important properties for the class‎. ‎We also derive‎ ‎many results for the Hadamard roducts of functions belong...

‎making use of a linear operator‎, ‎which is defined here by means of‎ ‎the hadamard product (or convolution)‎, ‎we define a subclass‎ ‎$mathcal {t}_{p}(a‎, ‎c‎, ‎gamma‎, ‎lambda; h)$ of meromorphically‎ ‎multivalent functions‎. ‎the main object of this paper is to‎ ‎investigate some important properties for the class‎. ‎we also derive‎ ‎many results for the hadamard roducts of functions belong...

In this article we explain the link between Pohlen’s extended Hadamard product and holomorphic cohomological convolution on $\mathbb{C}^\*$. For purpose introduce a generalized product, which is defined even if functions do not vanish at infinity, as well notion of strongly convolvable sets.

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Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce a class Qp(a, c;h) of analytic and multivalent functions in the open unit disk. An inclusion relation and a convolution property for the class Qp(a, c;h) are presented. Some integral-preserving properties are also given.

In this paper we consider the modified Hadamard product or convolution of analytic functions with negative coefficients, combined with an Sǎlǎgean integral operator. We discuss when it is a given class. Following idea of U. Bednarz and J. Sokól we shall determine the order of convolution consistence for certain analytic functions with negative coefficients. AMS Subject Classification: 30C45, 30C50

The purpose of the present paper is to investigate some inclusion properties of certain classes of meromorphic functions associated with a family of linear operators, which are defined by means of the Hadamard product or convolution . Some invariant properties under convolution are also considered for the classes presented here. The results presented here include several previous known results ...

Making use of a linear operator , which is defined here by means of the Hadamard product (or convolution), we introduce some new subclasses of multivalent functions and investigate various inclusion properties of these subclasses. Some radius problems are also discussed.

Ruscheweyh‘and She&Small proved the P6lya-Schoenberg conjecture that the class of convex analytic functions is closed under convolution or Hadamard product. They also showed that clos&o-convexity is preserved under convolution with convex analytic functions. In this note, we investigate harmonic analogs. Beginning with convex analytic functions, we form certain harmonic functions which preserve...