T. M. Dunster

most citedComputation of a numerically satisfactory pair of solutions of the differential equation for conical functions of non-negative integer orders

1 citations · 1 across the 1 of their papers we have counts for

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2 papers

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 $U (a, z)$ are studied. Asymptotic expansions for the zeros are derived, involving the zeros of Airy functions, and thes…

math.CA2014★ 1 cited

Computation of a numerically satisfactory pair of solutions of the differential equation for conical functions of non-negative integer orders

T. M. Dunster, A. Gil, J. Segura +1

We consider the problem of computing satisfactory pairs of solutions of the differential equation for Legendre functions of non-negative integer order $μ$ and degree $- \frac{1}{2} + i τ$ ,…