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On a certain subclass of meromorphic functions defined by a new linear differential operator
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نویسنده
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challab k. ,darus m. ,ghanim f.
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منبع
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journal of mathematical and fundamental sciences - 2017 - دوره : 49 - شماره : 3 - صفحه:269 -282
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چکیده
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In this article,a new linear differential operator ik (ls a(al,bm)f(z)) is defined by using the hadamard product of the q-hypergeometric function and a function related to the hurwitz-lerch zeta function. by using this linear differential operator,a new subclass ls,a k,*(αl,βm; a,b,b) of meromorphic functions is defined. some properties and characteristics of this subclass are considered. these include the coefficient inequalities,the growth and distortion properties and the radii of meromorphic starlikeness and meromorphic convexity. finally,closure theorems and extreme points are introduced. © 2017 published by itb journal publisher.
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کلیدواژه
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Differential operator; Gamma function; Hadamard product; Hurwitz-Lerch zeta function; Meromorphic functions; Q-hypergeometric function; Subordination property
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آدرس
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school of mathematical sciences,faculty of science and technology,universiti kebangsaan malaysia,bangi,selangor d. ehsan, Malaysia, school of mathematical sciences,faculty of science and technology,universiti kebangsaan malaysia,bangi,selangor d. ehsan, Malaysia, department of mathematics,college of sciences,university of sharjah,sharjah, United Arab Emirates
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Authors
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