Multivariate Bernoulli and Euler polynomials via Lévy processes
Copyright policy )Multivariate Bernoulli and Euler polynomials via Lévy processes
By a symbolic method, we introduce multivariate Bernoulli and Euler polynomials as powers of polynomials whose coefficients involve multivariate L��vy 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.
Multivariate Bernoulli polynomial; Multivariate Euler polynomial; Multivariate Lévy process; Multivariate moment; Umbral calculus, multivariate moment, Multivariate Lévy process, Multivariate Lévy process, Processes with independent increments; Lévy processes, umbral calculus, multivariate Bernoulli polynomial, Other computational problems in probability, multivariate Euler polynomial, Computation of special functions and constants, construction of tables, Multivariate Euler polynomial, Multivariate Bernoulli polynomial, FOS: Mathematics, Mathematics - Combinatorics, Multivariate moment, Umbral calculus, Combinatorics (math.CO), multivariate Lévy process, symbolic method
Multivariate Bernoulli polynomial; Multivariate Euler polynomial; Multivariate Lévy process; Multivariate moment; Umbral calculus, multivariate moment, Multivariate Lévy process, Multivariate Lévy process, Processes with independent increments; Lévy processes, umbral calculus, multivariate Bernoulli polynomial, Other computational problems in probability, multivariate Euler polynomial, Computation of special functions and constants, construction of tables, Multivariate Euler polynomial, Multivariate Bernoulli polynomial, FOS: Mathematics, Mathematics - Combinatorics, Multivariate moment, Umbral calculus, Combinatorics (math.CO), multivariate Lévy process, symbolic method
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