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2004 MULTIDIMENSIONAL EXTENSIONS OF THE BERNOULLI AND APPELL POLYNOMIALS
Gabriella Bretti, Paolo E. Ricci
Taiwanese J. Math. 8(3): 415-428 (2004). DOI: 10.11650/twjm/1500407662

Abstract

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].

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Gabriella Bretti. Paolo E. Ricci. "MULTIDIMENSIONAL EXTENSIONS OF THE BERNOULLI AND APPELL POLYNOMIALS." Taiwanese J. Math. 8 (3) 415 - 428, 2004. https://doi.org/10.11650/twjm/1500407662

Information

Published: 2004
First available in Project Euclid: 18 July 2017

zbMATH: 1084.33007
MathSciNet: MR2163315
Digital Object Identifier: 10.11650/twjm/1500407662

Subjects:
Primary: 33C99 , 34A35

Keywords: Appell polynomials , Bernoulli polynomials , Differential equations , Hermite-Kamp\'e de F\'eriet (or Gould-Hopper) polynomials , multidimensional polynomials

Rights: Copyright © 2004 The Mathematical Society of the Republic of China

Vol.8 • No. 3 • 2004
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