Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (4): 1045-1054.

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 DENG Qin   

  1. School of Science, Hangzhou Dianzi University, Hangzhou 310018
  • Received:2009-09-09 Revised:2010-08-20 Online:2011-08-25 Published:2011-08-25

Abstract:

The author introduces and investigates the various properties and characteristics of two subclasses P(λ, b, n, A, B) and \widehat{P}(λ, b, n, A, B) of analytic functions with complex order. In particular, a sufficient condition for a function to be in P(λ, b, n, A, B) and coefficient estimates of the class are studied. Furthermore, a subordination relationship involving the function class \widehat{P}(λ, b, n, A, B)
and partial sums of this class are considered. The results obtained in the paper extend some known theorems.

Key words: Analytic functions, Complex order, Coefficient estimates

CLC Number: 

  • 30C45
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