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Oscillation results on y″ + Ay = 0 in the complex domain with transcendental entire coefficients which have extremal deficiencies

Published online by Cambridge University Press:  20 January 2009

Y. M. Chiang
Y. M. Chiang
Affiliation:
Division of MathematicsBolton Institute of Higher EducationDeane Road Bolton BL3 5ABEngland
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Abstract

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Let A(z) be a transcendental entire function and f1, f2 be linearly independent solutions of

We prove that if A(z) has Nevanlinna deficiency δ(0, A) = 1, then the exponent of convergence of E: = flf2 is infinite. The theorems that we prove here are similar to those in Bank, Laine and Langley [3].

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 38 , Issue 1 , February 1995 , pp. 13 - 34
Copyright
Copyright © Edinburgh Mathematical Society 1995

References

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