PROPERTIES OF SOME FAMILIES OF MEROMORPHIC MULTIVALENT FUNCTIONS ASSOCIATED WITH GENERALIZED HYPERGEOMETRIC FUNCTIONS
PROPERTIES OF SOME FAMILIES OF MEROMORPHIC MULTIVALENT FUNCTIONS ASSOCIATED WITH GENERALIZED HYPERGEOMETRIC FUNCTIONS
投稿时间:2017-02-22  最后修改时间:2017-06-04
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中文关键词:  
英文关键词:Generalized hypergeometric function  Hadamard product  meromorphic functions  neighborhoods
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作者单位E-mail
Mostafa Albehbah Universiti Kebangsaan Malaysia malbehbah@gmail.com 
Maslina Darus Universiti Kebangsaan Malaysia maslina@ukm.edu.my 
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英文摘要:
      We introduce and study two subclasses -$\Omega_{[\alpha_{1}]}(A,B,\lambda)$and $\Omega^{+}_{[\alpha_{1}]}(A,B,\lambda)$ -of meromorphic $p$-valent functions defined by certain linear operator involving the generalized hypergeometric function. The main object is to investigate the various important properties and characteristics of these subclasses of meromorphically multivalent functions. We extend the familiar concept of neighborhoods of analytic functions to these subclasses. We also derive many interesting results for the Hadamard products of functions belonging to the class $\Omega^{+}_{[\alpha_{1}]}(\alpha,\beta,\gamma,\lambda)$
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