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On the Growth of Solutions of Algebraic Differential Equations Whose Coefficients are Arbitrary Entire Functions1
Published online by Cambridge University Press: 22 January 2016
Extract
In this paper we treat the problem of determining the rate of growth of entire functions which are solutions of first order algebraic differential equations whose coefficients are arbitrary entire functions (i.e. equations of the form Ω(z, y, dy/dz) = 0, where Ω(z, y, dy/dz) = is a polynomial in y and dy/dz, whose coefficients fkJ(z) are entire functions).
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- Research Article
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1970
Footnotes
This research was supported in part by the National Science Foundation (GP 7374).
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