SOME CONVOLUTION AND INCLUSION PROPERTIES FOR SUBCLASSES OF MEROMORPHIC p-VALENT FUNCTIONS INVOLVING INTEGRAL OPERATOR  

SOME CONVOLUTION AND INCLUSION PROPERTIES FOR SUBCLASSES OF MEROMORPHIC p-VALENT FUNCTIONS INVOLVING INTEGRAL OPERATOR

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作  者:R.M.EL-ASHWAH 

机构地区:[1]Department of Mathematics,Faculty of Science,Damietta University

出  处:《Acta Mathematica Scientia》2013年第6期1749-1758,共10页数学物理学报(B辑英文版)

摘  要:Making use of the linear operator Lp^m(λ,e)f(z)=1/z^p+∞∑k=1[e/e+λk]^m akz^k-p,where e〉0,λ〉0,p∈N,m∈N0=NU{0},z∈U^* and f(z)∈∑p,we introduce two subclasses of meromorphic p-valent analytic functions and investigate convolution and inclusion properties for these classes.Making use of the linear operator Lp^m(λ,e)f(z)=1/z^p+∞∑k=1[e/e+λk]^m akz^k-p,where e〉0,λ〉0,p∈N,m∈N0=NU{0},z∈U^* and f(z)∈∑p,we introduce two subclasses of meromorphic p-valent analytic functions and investigate convolution and inclusion properties for these classes.

关 键 词:analytic functions meromorphic functions multiplier transformations 

分 类 号:O174.52[理学—数学] O177.6[理学—基础数学]

 

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