On the Proximate Type of Analytic Function Represented by Laplace-Stieltjes Transformation
Received:February 17, 2014  Revised:June 18, 2014
Key Word: Laplace-Stieltjes transform   zero order   logarithmic $p$-type   lower logarithmic $p$-type  
Fund ProjectL:Supported by the Technology Project of Jiangxi Provincial Education Department (Grant No.GJJ13788).
Author NameAffiliation
Wanchun LU Department of Mathematics, Pingxiang University, Jiangxi 337055, P. R. China 
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Abstract:
      In present paper, we study precisely the growth of analytic functions defined by zero order Laplace-Stieltjes transformation converging in right plane. The coefficient characterizations of generalized logarithmic $p$-type and generalized lower logarithmic $p$-type are obtained, which improve the results of logarithmic type and lower logarithmic type.
Citation:
DOI:10.3770/j.issn:2095-2651.2015.01.009
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