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On the oscillation of solutions of certain linear differential equations in the complex domain

Published online by Cambridge University Press:  20 January 2009

Steven B. Bank  and
J. K. Langley
Steven B. Bank
Affiliation:
Department of Mathematics, University of Illinois, 1409 West Green St., Urbana 61801, USA
J. K. Langley
Affiliation:
Department of Pure Mathematics, University of St. Andrews, North Haugh, St. Andrews KY 16 9SS, Scotland
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Our starting point is the differential equation

where A(z) is a transcendental entire function of finite order, and we are concerned specifically with the frequency of zeros of a non-trivial solution f(z) of (1.1). Of course it is well known that such a solution f(z) is an entire function of infinite order, and using standard notation from [7],

for all , b∈C\{0}, at least outside a set of r of finite measure.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 30 , Issue 3 , October 1987 , pp. 455 - 469
Copyright
Copyright © Edinburgh Mathematical Society 1987

References

REFERENCES

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