The Bell Polynomials and a Sequence of Polynomials Applied to Differential Equations
نویسنده
چکیده
In the paper, the authors discuss the Bell polynomials and a sequence of polynomials applied to the theory of hyperbolic differential equations. Concretely speaking, the authors find four explicit formulas for these polynomials and for derivatives of generating functions of these polynomials, establish four identities between these two kinds of polynomials, and significantly simplify some known results. 1. Main results In [4, pp. 257–258] and [10], the functions in the equation F (t, x) = 1 √ 1− t exp [ x ( 1 √ 1− t − 1 )] = ∞ ∑
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تاریخ انتشار 2016