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math.NA2024
A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane
T. M. Dunster, A. Gil, D. Ruiz-Antolín +1
A numerical algorithm (implemented in Matlab) for computing the zeros of the parabolic cylinder function in domains of the complex plane is presented. The algorithm uses a…
math.CA2024
Uniform asymptotic expansions for the zeros of parabolic cylinder functions
T. M. Dunster, A. Gil, D. Ruiz-Antolin +1
The real and complex zeros of the parabolic cylinder function are studied. Asymptotic expansions for the zeros are derived, involving the zeros of Airy functions, and thes…