On the Growth of Solutions of Algebraic Differential Equations Whose Coefficients are Arbitrary Entire Functions
- 1 August 1970
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 39, 107-117
- https://doi.org/10.1017/s0027763000013714
Abstract
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).Keywords
This publication has 3 references indexed in Scilit:
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- Sur les fonctions entières vérifiant une classe d'équations différentiellesBulletin de la Société Mathématiques de France, 1923
- Über den Zusammenhang Zwischen dem Maximalbetrage Einer Analytischen Funktion und dem Grössten Gliede der Zugehörigen Taylor'schen ReiheActa Mathematica, 1914