Abstract
Uniform asymptotic representations for the zeros of the Whittaker functions M κ,μ(z) and W κ,μ(z) are derived from well-known uniform asymptotic expansions. The approximation formulas involve the zeros of Bessel or Airy functions.
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Gabutti, B., Gatteschi, L. New Asymptotics for the Zeros of Whittaker's Functions. Numerical Algorithms 28, 159–170 (2001). https://doi.org/10.1023/A:1014094732209
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DOI: https://doi.org/10.1023/A:1014094732209