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Support computing Up solutions using HeunC method #43

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@barrywardell barrywardell commented Aug 23, 2023

This adds support for computing homogeneous solutions satisfying "up" boundary conditions using the HeunC method. The HeunC function in Mathematica does not naturally satisfy "up" boundary conditions. Instead, we can construct an appropriate "up" solution from a linear combination of the two linearly independent solutions $R^{in}(s,l,m)$ and $\Delta(r)^{-s} {}_{-s} \bar{R}^{in}(-s,l,m)$.

Co-authored-by: Adrian Ottewill <[email protected]>
Co-authored-by: Marc Casals <[email protected]>
@barrywardell barrywardell merged commit b54afe1 into master Aug 23, 2023
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@barrywardell barrywardell deleted the HeunC branch August 23, 2023 14:56
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