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2010•Journal of Suzhou University of Science and TechnologyRequires access

Inclusion relation of meromorphic multivalent functions defined by a linear operator

Min Wang

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Abstract

Let Σp denote the class of functions normalized by f(z)=z-p+∞Σm=1amzm-p,(p∈N),whichareanalyticand p-valent in 0|z|1.Some new subclasses of the meromorphic p-valent functions are defined by using a new linear operator in Σp.Their inclusion relations are also investigated.

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What this paper is about

Let Σp denote the class of functions normalized by f(z)=z-p+∞Σm=1amzm-p,(p∈N),whichareanalyticand p-valent in 0|z|1.Some new subclasses of the meromorphic p-valent functions are defined by using a new linear operator in Σp.Their inclusion relations are also investigated.

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Available abstract

Let Σp denote the class of functions normalized by f(z)=z-p+∞Σm=1amzm-p,(p∈N),whichareanalyticand p-valent in 0|z|1.Some new subclasses of the meromorphic p-valent functions are defined by using a new linear operator in Σp.Their inclusion relations are also investigated.

Key concepts: Meromorphic function, Operator (biology), Linear map, Mathematics, Inclusion (mineral), Class (philosophy), Relation (database), Linear operators

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