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On Complex Oscillation Theory

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Abstract

Suppose that A is a transcendental entire function with \(\rho(A)<{1\over 2}\). Suppose that k ≥ 2 and y(k) + Ay = 0 has a solution ƒ with λ(ƒ) < ρ(A), and suppose that A1 = A + h where h ≢ 0 is an entire function with ρ(h) < ρ(A). Then y(k) + A1y = 0 does not have a solution g with λ(g) < ρ(A).

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  1. School of mathematics University Park University of Nottingham, NG7 2RD, UK

    Abdullah Alotaibi

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  1. Abdullah Alotaibi
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Alotaibi, A. On Complex Oscillation Theory. Results. Math. 47, 165–175 (2005). https://doi.org/10.1007/BF03323023

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  • DOI: https://doi.org/10.1007/BF03323023

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