Speaker
Laurian Colcer
(Profesor pensionar Tulcea)
Description
In Gazeta Matematică Series A (2002), I gave explicit formulas of the numerators of the first and second derivative of the ratios of polynomials of any degree in ℝ[X], expressed with/without the help of determinants of coefficients of these polynomials.
New in present article: a generalization of an above formula to derivatives of any order, a divisibility property of the terms of these numerators, extension to the complex framework, a conjecture on the derivative of a ratio of power series and another.
I hope all the information is understandable.
Keywords: rational functions, derivative, determinant, polynomial, numerical coefficients, greatest common divisor.
Primary author
Laurian Colcer
(Profesor pensionar Tulcea)
