On the oscillation theory of 𝑓′′+𝐴𝑓=0 where 𝐴 is entire

Bank, Steven B.; Laine, Ilpo

doi:10.1090/S0002-9947-1982-0664047-6

On the oscillation theory of $f^{\prime \prime }+Af=0$ where $A$ is entire
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by Steven B. Bank and Ilpo Laine

Trans. Amer. Math. Soc. 273 (1982), 351-363

DOI: https://doi.org/10.1090/S0002-9947-1982-0664047-6

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Abstract:

In this paper, we investigate the distribution of zeros of solutions of $f'' + A(z)f = 0$. More specifically, results are obtained concerning the exponent of convergence of the zero-sequence of a solution in both the case where $A(z)$ is a polynomial, and the case where $A(z)$ is transcendental.

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