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4 papers
An homotopy of isometries related to a probability density
Roland Groux
We are studying here a family of probability density functions indexed by a real parameter, and constructed from homographic relations between associated Stieltjes transforms. From…
About polynomials related to a quadratic equation
Roland Groux
We consider here a particular quadratic equation linking two elements of a C-Algebra. By analysing powers of the unknowns, it appears a double sequence of polynomials related to cl…
Some explicit formulas for a sequence of secondary measures
Roland Groux
We study here a sequence of secondary measures, so called because the set of secondary polynomials on a given term become orthogonal for the next measure. The main result is a form…
About the operator creating secondary polynomials
Roland Groux
We are studying here the classical operator creating secondary polynomials associated with an orthogonal system for a continuous probability density function on a real interval. We…