@article{oai:metro-cit.repo.nii.ac.jp:00000050, author = {澤田, 一成 and Sawada, Kazunari and 澤田, 一成 and Sawada, Kazunari and 澤田, 一成 and Sawada, Kazunari}, journal = {東京都立産業技術高等専門学校研究紀要, Research reports of Tokyo Metropolitan College of Industrial Technology}, month = {Mar}, note = {P(論文), In the value distribution theory of meromorphic functions, the relative growth of a given function and its derivative playsa very important role. Since R. Nevanlinna proved the importance of the logarithmic derivative f'/f of a meromorphicfunction f in his theory of value distribution in 1925, a number of interesting results of the relative growth of meromorphic functions and their derivatives have been found out. Furthermore, many mathematicians have recently investigated the value distribution of the differential `polynomials' with respect to meromorphic functions. In 1973, Gopalakrishna andBhoosnurmath gave some estimations of the relative growth of meromorphic functions and their homogeneous differentialpolynomials. However their results have an unnecessary condition; the `homogeneousness' of the polynomials. In this paper we consider all differential polynomials of transcendental meromorphic functions on the complex plane, and we give some ( upper and lower ) estimations of comparative growth of the characteristic functions of meromorphic functions and theirdifferential polynomials. Our results extend the result of Gopalakrishna and Bhoosnurmath.}, pages = {84--89}, title = {有理型函数の微分多項式の値分布について}, volume = {2}, year = {2008}, yomi = {サワダ, カズナリ and サワダ, カズナリ and サワダ, カズナリ} }