On the growth of solutions of second order linear differential equations with extremal coefficients |
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| Authors: | Jian Ren Long Peng Cheng Wu Zheng Zhang |
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| Affiliation: | 1. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang, 550001, P. R. China
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| 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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| Keywords: | Entire function deficient value Borel direction order |
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