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Figure 11
Existence of solutions to the eigenvalue problem stated in equation (33[link]), in which ρ(m, μ) is the eigenvalue (shown for m ≤ 40). Cases for which a solution exists are marked by a green box, and those for which a solution does not exist are marked by a red one. White boxes represent non-admissible cases, for which ρ(m, μ) is (i) non-positive (in the case μ < m), (ii) non-definite (μ = m) or (iii) just repeats the already observed pattern (μ > m). This last case distinction reflects the fact that ρ(m, μ) = ρ(m, μ + km) for [k \in {\bb N}]. Note the preferential absence or presence of solutions for m being an odd or even number, respectively.

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ISSN: 2053-2733
Volume 79| Part 6| November 2023| Pages 570-586
https://doi.org/10.1107/S2053273323008276
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