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ON CERTAIN CLASS OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS

ON CERTAIN CLASS OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS
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摘要 In the present investigation we define a new class of meromorphic functions on the punctured unit disk A△^* := {z ∈ C : 0 〈 |z| 〈 1} by making use of the generalized Dziok-Srivastava operator Hm^l [α1]. Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. We also establish some results concerning the partial sums of meromorphic functions and neighborhood results for functions in new class. In the present investigation we define a new class of meromorphic functions on the punctured unit disk A△^* := {z ∈ C : 0 〈 |z| 〈 1} by making use of the generalized Dziok-Srivastava operator Hm^l [α1]. Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. We also establish some results concerning the partial sums of meromorphic functions and neighborhood results for functions in new class.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2012年第4期1376-1390,共15页 数学物理学报(B辑英文版)
关键词 meromorphic functions starlike function CONVOLUTION positive coefficients coefficient inequalities Dziok-Srivastava operator meromorphic functions starlike function convolution positive coefficients coefficient inequalities Dziok-Srivastava operator
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