Abstract
W. H. J. Fuchs [1] proved 1983 with an idea of A. A. Goldberg [2] the following famous THEOREM Let f be a meromorphic function of nonintegral order p. If 0 ≤θ <π then and the inequality is best possible. First we prove some modifications of this theorem and then we make use of the method of Fuchs to prove growth estimates of entire and meromorphic functions. For example we deduce the following extension of a theorem of I. V. Ostrovskii [5]. THEOREM Let f be a meromorphic Junction of nonintegral order p, having only negative zeros. If ∞ is a Borel exceptional value of f and |θ| ≤π, then we have
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