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exponent of convergence

Proceedings of the Edinburgh Mathematical Society (1)

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Growth and oscillation theory of non-homogeneous linear differential equations
Gary G. Gundersen, Enid M. Steinbart, Shupei Wang
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 43 / Issue 2 / June 2000

Published online by Cambridge University Press:

20 January 2009, pp. 343-359
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We investigate the growth and the frequency of zeros of the solutions of the differential equation f(n) + Pn–1 (z) f(n–1) + … + P0 (z) f = H (z), where P0 (z), P1(z), …, Pn–1(z) are polynomials with P0 (z) ≢ 0, and H (z) ≢ 0 is an entire function of finite order.