ON THEORDER AND THE LOWERORDER OFDIFFERENTIAL POLYNOMIALS

Abstract

Abstract. 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 ofP [ 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. 1

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