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Equal-Phase Monotonicity for Weighted Jacobi-Radau Functions and Jacobi Lebesgue Constants

Castillo, K. et al.
arXiv (OAI Expanded) · Papers
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classical-analysis-and-odes
For the Jacobi family with parameters $(0,β)$, $β\geq-1/3$, we prove a continuous comparison theorem for the associated weighted Jacobi--Radau functions. When two consecutive functions are parametrised by the same Prüfer phase, the function of higher degree attains that phase closer to $θ=0$ and has
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