By a symbolic method, we introduce multivariate Bernoulli and Euler polynomials as powers of polynomials whose coefficients involve multivariate Lévy processes. Many properties of these polynomials are stated straightforwardly thanks to this representation, which could be easily implemented in any symbolic manipulation system. A very simple relation between these two families of multivariate polynomials is provided. © 2012 Elsevier Ltd. All rights reserved.
Multivariate Bernoulli and Euler polynomials via Lévy processes / Di Nardo, Elvira; Oliva, Immacolata. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - 25:9(2012), pp. 1179-1184. [10.1016/j.aml.2012.02.033]
Multivariate Bernoulli and Euler polynomials via Lévy processes
Immacolata Oliva
2012
Abstract
By a symbolic method, we introduce multivariate Bernoulli and Euler polynomials as powers of polynomials whose coefficients involve multivariate Lévy processes. Many properties of these polynomials are stated straightforwardly thanks to this representation, which could be easily implemented in any symbolic manipulation system. A very simple relation between these two families of multivariate polynomials is provided. © 2012 Elsevier Ltd. All rights reserved.| File | Dimensione | Formato | |
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