Abstract
We know that \(e^z\) is analytic in \(\mathbf {C}\) and it never vanishes. Thus \(e^z\) omits the value 0 and none else. In fact, it is the case that any non-constant entire function omits at most one value.
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Shorey, T.N. (2020). The Picard Theorems. In: Complex Analysis with Applications to Number Theory. Infosys Science Foundation Series(). Springer, Singapore. https://doi.org/10.1007/978-981-15-9097-9_5
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DOI: https://doi.org/10.1007/978-981-15-9097-9_5
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