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Title of Journal: Sci China Math

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Abbravation: Science China Mathematics

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Science China Press

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DOI

10.1016/0006-3002(59)90160-x

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1869-1862

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Some identities of Bell polynomials

Authors: Dae San Kim Taekyun Kim
Publish Date: 2015/03/30
Volume: 58, Issue: 10, Pages: 1-10
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Abstract

We investigate Bell polynomials also called Touchard polynomials or exponential polynomials by using and without using umbral calculus We use three different formulas in order to express various known families of polynomials such as Bernoulli polynomials polyBernoulli polynomials Cauchy polynomials and falling factorials in terms of Bell polynomials and vice versa In addition we derive several properties of Bell polynomials along the way

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