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On Determining the Growth of Meromorphic Solutions of Algebraic Differential Equations Having Arbitrary Entire Coefficients(1)

Published online by Cambridge University Press:  22 January 2016

Steven B. Bank
Steven B. Bank*
Affiliation:
University of Illinois
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In this paper, we treat the problem of determining the rate of growth of meromorphic functions on the plane, which are solutions of nth order algebraic differential equations whose coefficients are arbitrary entire functions (i.e., equations of the form, Ω(z,y,dy/dz, • • •, dny/dzn) — 0, where Ω is a polynomial in y, dy/dz, • • •, dny/dzn whose coefficients are arbitrary entire functions of z.)

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 49 , March 1973 , pp. 53 - 65
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1973

Footnotes

(1)

This research was supported in part by a grant from the University of Illinois Research Council.

References

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