Saddle points of the complementary error function

Fettis, Henry E.; Caslin, James C.; Cramer, Kenneth R.

doi:10.1090/S0025-5718-1973-0326992-9

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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Saddle points of the complementary error function
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by Henry E. Fettis, James C. Caslin and Kenneth R. Cramer PDF

Math. Comp. 27 (1973), 409-412 Request permission

Abstract:

The first one hundred zeros of the derivative of the function $w(z) = {e^{ - {z^2}}}\;{\operatorname {Erfc}}( - iz)$ are given, together with an asymptotic formula for estimating the higher zeros.

References

Henry E. Fettis, James C. Caslin, and Kenneth R. Cramer, Complex zeros of the error function and of the complementary error function, Math. Comp. 27 (1973), 401–407. MR 326991, DOI 10.1090/S0025-5718-1973-0326991-7