Clemente Cesarano (International Telematic University UNINETTUNO, Rome, Italy)

Two-variable Chebyshev polynomials

Abstract:
   We study the properties of the generalized Chebyshev polynomials; by using the integral representations of the first and second kind Chebyshev polynomials, we define the simmetric two-variable Chebyshev polynimials. For this class of polynomials, we derive integral representations, generating functions, recurrence relations and partial differentaial equations by using the tool of the two-variable Hermite polynomials and the related properties.