MULTIDIMENSIONAL EXTENSIONS OF THE BERNOULLI AND APPELL POLYNOMIALS

Multidimensional extensions of the Bernoulli and Appell polynomi- als are defined generalizing the corresponding generating functions, and using the Hermite-Kamped e Feriet (or Gould-Hopper) polynomials. Furthermore the differential equations satisfied by the corresponding 2D polynomials are derived exploiting the factorization method, introduced in (15).