AM  Vol.2 No.9 , September 2011
On the Growth and Polynomial Coefficients of Entire Series
ABSTRACT
In this paper we have generalized some results of Rahman [1] by considering the maximum of |f(z)| over a certain lemniscate instead of considering the maximum of|f(z)|, for |z|=r and obtain the analogous results for the entire function |f(z)|=Σpk(z) [q(z)]k-1 where q(z) is a polynomial of degree m and pk(z)is of degree m-1. Moreover, we have obtained some inequalities on the lover order, type and lower type in terms of polynomial coefficients.

Cite this paper
nullH. Khan and R. Ali, "On the Growth and Polynomial Coefficients of Entire Series," Applied Mathematics, Vol. 2 No. 9, 2011, pp. 1124-1128. doi: 10.4236/am.2011.29155.
References
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[10]   D. Kumar and H. Kaur, “Lp—Approximation Error and Generalized Growth Parameters of Analytic Functions in Coratheodory Domains,” International Journal of Mathematical Analysis, Vol. 3, No. 30, 2009, pp. 1461-1472.

 
 
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