On the Order and the Lower Order of Differential Polynomials

M. N. Kulkarni；Kit-Wing Yu

Tamkang Journal of Mathematics

42卷4期（2011 / 12 / 01）

475 - 482

英文

Suppose that f is a meromorphc function with order σ(f) and lower order μ(f). Suppose that P[f] is a differential polynomial of f. In this paper, it is shown that the order and the lower order of P[f] are equal to the order and the lower order of f under certain conditions on the degree of the differential polynomial P[f], i.e., σ(P)=σ(f) and μ(P)=μ(f). This result improves previous results.

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