3 problems

Let $(c_n)_{n\geq 0}$ be the orthorecursive coefficients, and let $g^*$ be the function whose zero with smallest positive real part is … where $\alpha_1\approx1.34652$ and…

Kalmynin–Kosenko's conjecture. The coefficients admit an oscillatory asymptotic of the form

Let $(c_n)_{n\geq 0}$ be the rational sequence defined by $c_0=1$ and … Kalmynin and Kosenko conjectured that there are constants $A$, $P$, $\varphi$, $\delta$, and $\eta$ such tha…