Abstract
In this paper, we consider the differential equation f″ +A(z)f′ +B(z)f = 0, where A and B ≢ 0 are entire functions. Assume that A is extremal for Yang’s inequality, then we will give some conditions on B which can guarantee that every non-trivial solution f of the equation is of infinite order.
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Supported by National Natural Science Foundation of China (Grant No. 11171080) and Foundation of Science and Technology Department of Guizhou Province (Grant No. [2010]07)
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Long, J.R., Wu, P.C. & Zhang, Z. On the growth of solutions of second order linear differential equations with extremal coefficients. Acta. Math. Sin.-English Ser. 29, 365–372 (2013). https://doi.org/10.1007/s10114-012-0648-4
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DOI: https://doi.org/10.1007/s10114-012-0648-4