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SPACES OF ANALYTIC FUNCTINOS OF FINITE TYPE OF TWO COMPLEX VARIABLES

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 1998-1999
Author Name
Abstract (2. Language): 
Let fXX'^' be analytic for | z, | < 1 ,/ = 1,2 . Using niM-0 the order and type characterization of /(z,,z2) in terms of coefficients {«,„„}, a metric is defined on the space of all functions of type less than or equal to T. The properties of this space and linear transformations have been studied. Necessary and sufficient conditions for a base to be a proper base have also been obtained .
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13-24
  • English

REFERENCES

References: 

[I] llazem Shaba Behnam and G.S. Srivastava, Growth of analytic functions of two complex
variables (Communicated). [2] S.K. Bose and Devendrá Sharma, Integral functions of two complex variables, Comp. Math.,
15 (1963) 210-226.
[3
1 P.K. Kamthan and Manju! Gupta, Expansion of entire functions of several complex variables having finite growth, Trans. ofAmer. Math. Soc., V 192, (1974), 371-382.

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