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