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NONCOMMUTATIVE BELL POLYNOMIALS

International Journal of Algebra and Computation, 1996
The recursive definition for the sequence of the Bell polynomials is generalized to noncommutative variables and then explicitly solved. As applications, we present formulas for the powers of a first-order matrix-valued differential operator, of the “substantial derivative” to a dynamical system, and for the Taylor coefficients of the time-ordered ...
Saad Zagloul Rida, Rainer Schimming
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