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MULTIDIMENSIONAL EXTENSIONS OF THE BERNOULLI AND APPELL POLYNOMIALS

2004; Mathematical Society of the Republic of China (Taiwan); Volume: 8; Issue: 3 Linguagem: Inglês

10.11650/twjm/1500407662

2224-6851

Gabriella Bretti, Paolo Emilio Ricci,

Nonlinear Waves and Solitons

Multidimensional extensions of the Bernoulli and Appell polynomials are defined generalizing the corresponding generating functions, and using the Hermite-Kamp´e de F´eriet (or Gould-Hopper) polynomials. Furthermore the differential equations satisfied by the corresponding 2D polynomials are derived exploiting the factorization method, introduced in [15].