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The zeros of the complementary error function |
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| Authors: | Árpád Elbert Andrea Laforgia |
| Institution: | 1. Department of Mathematics, Rome Tre University, L.go S. Leonardo Murialdo, 1, 00146, Rome, Italy |
| Abstract: | We show that the complementary error function, $\text{erfc} (z)= \frac{2}{\sqrt{\pi}}\int_z^{\infty}{e^{-s^2} \text{d}s}$ , has no zeros in $\text{D}= \left\{ z : \frac{3}{4} \ \pi \le Arg z \le\frac{5}{4} \ \pi \right\}$ . |
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