Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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INCLUSION PROPERTIES REGARDING CLASSES OF MEROMORPHIC P-VALENT FUNCTIONS, INVOLVING THE OPERATOR Jnp,λ

  • Dicu, Petrica (Department of Mathematics Faculty of Science University "Lucian Blaga" of Sibiu) ;
  • Totoi, Alina (Department of Mathematics Faculty of Science University "Lucian Blaga" of Sibiu)
  • Received : 2017.01.05
  • Accepted : 2017.04.26
  • Published : 2017.10.31
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Abstract

For $p{\in}{\mathbb{N}}^{\ast}$ let ${\Sigma}_{p,0}$ denote the class of meromorphic functions of the form $g(z) ={\frac{1}{z^p}}+a_0+a_1z+{\cdots}$, $z{\in}U$. In the present paper we introduce a new subclass of the class ${\Sigma}_{p,0}$, using the subordination and the operator $J^n_{p,{\lambda}}$. This class will be denoted by $B^n_{p,{\lambda}}({\alpha},h)$ and we study some inclusion properties of this subclass.

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References

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