“Some exotic orthogonal polynomials. Open problems.”

Sala 1:22, Edificio das Matemáticas, FCUP
Friday, 15 December, 2006 - 14:30

We deal with some polynomial sequences as Fibonacci, Pell, Lucas and Pell-Lucas sequences which are, in fact, obtained by imaginary homothetic
transformation of Tchebychev polynomials.
A formal integral representation is given for Gegenbauer forms transformed in
this way.
For some values of the parameter, the existence of such representation is
proved.

Speaker: 

Pascal MARONI CNRS - Laboratoire Jacques Louis-Lions Université Pierre et Marie Curie Paris VI