Abstract
We show a sufficient condition for the defect $\delta (0,f)$ of an analytic function $f(z) = 1 + \sum_{k=1}^{\infty} c_k z^{n_k}$ in the unit disk with Hadamard gaps to vanish. As a consequence, we find that such $f(z)$ whose characteristic function is sufficiently large has no finite defective value.
Citation
Narufumi TSUBOI. "The Defects of Power Series in the Unit Disk with Hadamard Gaps." Tokyo J. Math. 40 (1) 203 - 222, June 2017. https://doi.org/10.3836/tjm/1502179223
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