4 papers · 1 filter
Determinacy Witnesses in the Completely Monotone--Stieltjes--Bernstein Hierarchy
Domingos S. P. Salazar
Membership problems in the completely monotone--Stieltjes--Bernstein hierarchy often become explicit after passage to a determinate representation. We organize that passage as a wi…
Riccati Reductions for Modified Bessel Ratios: Bernstein Positivity, Exact Certificates, and Transfer Obstructions
Domingos S. P. Salazar
Several open inequalities for ratios and logarithmic derivatives of the modified Bessel functions of the first kind and of the second kind reduce to sign questions for…
Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms
Domingos S. P. Salazar
We prove two strict total-positivity results by isolating two strictification mechanisms. The first is a spectral Darboux mechanism: an induction converts positivity and ordered en…
Order-Moment Transport and Hankel Determinants in Special-Function Inequalities
Domingos S. P. Salazar
Scalar inequalities in an order parameter often arise as the shadow of a stronger Hankel determinant statement. We record a moment-representation criterion: positive exp…