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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

Steven Bank
Steven Bank*
Affiliation:
University of Illinois
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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).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 39 , August 1970 , pp. 107 - 117
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

Footnotes

1)

This research was supported in part by the National Science Foundation (GP 7374).

References

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