On the Growth of Entire Function Defined by Multiple Taylor

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Abstract:

It is studied that the growth of entire functions defined by multiple Taylor series by means of Polar coordinates, and established two sufficient and necessary conditions.

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786-789

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April 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] J.R. Yu: Some properties of multiple Taylor Series and random Taylor Series. Acta Mathematica Scientia, 26B(3): 568-576(2006).

DOI: 10.1016/s0252-9602(06)60082-9

Google Scholar

[2] Z.S. Gao and D.C. Sun: On the growth of Taylor series. J. Sys. Sci. & Math. Scis., 14(1): 73-80(1994).

Google Scholar

[3] J.R. Yu: Some remarks on holomorphic functions and Taylor Series in Cn. Acta Mathematica Scientia, 28B(4): 721-726(2008).

DOI: 10.1016/s0252-9602(08)60073-9

Google Scholar

[4] J.R. Yu: Further applications of polar coordinates in Cn. Acta Mathematica Scientia, 31B(1): 1-7(2011).

Google Scholar

[5] G. Valiron: Theory of Integral Functions. New York: Chelsea(1949).

Google Scholar

[6] B. Levin: Lectures on Entire Functions. American Mathematical Society(1996).

Google Scholar

[7] Susheel Kumar and G. S. Srivastava: Maximum term and lower order of entire functions of several complex variables. Bulletin of Mathematical Analysis Applications, 3(1): 156-164(2011).

Google Scholar