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February 2013
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74 Reads
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22 Citations
Acta Mathematica Sinica
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.
... Then every nontrivial solution f of the equation (1) has infinite order. This is a hot research object and a lot of works have sprung up, such as [7,11,15,21,[23][24][25][31][32][33]. Our main purpose is continue to study the above question, try to find conditions which A(z), B(z) should satisfy to ensure that nontrivial solution of (1) has infinite order. ...
February 2013
Acta Mathematica Sinica
