On the Growth and Polynomial Coefficients of Entire Series
Huzoor H. Khan, Rifaqat Ali
DOI: 10.4236/am.2011.29155   PDF    HTML     4,131 Downloads   7,347 Views   Citations


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.

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Khan, H. and Ali, R. (2011) On the Growth and Polynomial Coefficients of Entire Series. Applied Mathematics, 2, 1124-1128. doi: 10.4236/am.2011.29155.

Conflicts of Interest

The authors declare no conflicts of interest.


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