Abstract
The purpose of this paper is to show that given any non-negative real number α \alpha , the set of entire functions whose order is equal to α \alpha is Π 3 0 \boldsymbol {\Pi }_{3}^{0} -complete, and the set of all sequences of entire functions whose orders converge to α \alpha is Π 5 0 \boldsymbol {\Pi }_{5}^{0} -complete.
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