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Let M(r):=max|z|=r|f(z)|, where f(z) is an entire function. Also let α>0 and β>1. We discuss the behavior of the integrand M(r)eα(logr)β as r→∞ if ∫∞1M(r)eα(logr)β dr is convergent. [ABSTRACT FROM AUTHOR]

Let P(z) be a polynomial of degree nn having no zeros in |z| < k, k = 1, and let Q(z) : = znP(1/z). It was shown by Govil that if max|z|=1 |P'(z)| and max|z|=1 |Q'(z)| are attained at the same point of the unit circle |z| = 1, then ... The main result of the present article is a generalization of Govil's polynomial inequality to a class of entire functions of exponential type. [ABSTRACT FROM AUTHOR]