  The use of operational methods of different nature is shown to be a fairly
powerful tool to study different problems regarding the theory of Legendre and
Legendre-like polynomials. We show how the use of the well known integral
representations linking Hermite and Legendre like polynomials and of
operational technique allow the derivation of new properties regarding the
generating functions, repeated derivatives of irrational functions and so on.
We finally extend the method of the integral transform to functions with more
than one variable and derive new expansion criteria of a given function in
terms of Legendre polynomials.
