Euler Polynomials and Identities for Non-Commutative Operators

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De Angelis , Valerio; Vignat , Christophe;
  • Publisher: American Institute of Physics (AIP)
  • Related identifiers: doi: 10.1063/1.4938077
  • Subject: [ MATH.MATH-PR ] Mathematics [math]/Probability [math.PR] | Mathematical Physics

Three kinds of identities involving non-commutating operators and Euler and Bernoulli polynomials are studied. The first identity, as given by Bender and Bettencourt, expresses the nested commutator of the Hamiltonian and momentum operators as the commutator of the mome... View more
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    2n − 2k s − l

    2n − 2k s − l

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