2 problems

0 votes0 replies0 views
Conjecture on Van Vleck root distributions for complex coefficients
Let $Q(z)$ be the leading polynomial in the generalized Lamé equation, and let $\alpha_i$ denote its coefficient parameters. Consider the Van Vleck polynomials for this equation wi…
Conjectureopendifferential-equations root-asymptotics spectral-polynomialsarXiv posted 2 days ago
0 votes0 replies0 views
The maximal-interval conjecture for real roots of the Whittaker function
Let $l>-\frac{1}{2}$ , and let $z_l$ be the real-root curve defined near $k=l+\frac{3}{2}$ by … Here $I_l$ denotes the maximal interval on which $z_l$ is defined. Maximal-interval c…
Conjectureopendelay-differential-equations root-asymptotics special-functionsarXiv posted 2 days ago

Conjecture on Van Vleck root distributions for complex coefficients