most citedRecent software developments for special functions in the Santander-Amsterdam project

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math.CA2024

McMahon-type asymptotic expansions of the zeros of the Coulomb wave functions

Amparo Gil, Javier Segura, Nico M. Temme

We derive asymptotic expansions of the large zeros of the Coulomb wave functions and for those of their derivatives. The new expansions have the same form as the McMahon expansions…