Advances in Difference Equations (Jan 2010)

A Note on Symmetric Properties of the Twisted <inline-formula><graphic file="1687-1847-2010-801580-i1.gif"/></inline-formula>-Bernoulli Polynomials and the Twisted Generalized <inline-formula><graphic file="1687-1847-2010-801580-i2.gif"/></inline-formula>-Bernoulli Polynomials

  • Lee B,
  • Yi H,
  • Kim T,
  • Kim YH,
  • Shivashankara K,
  • Jang L-C

Journal volume & issue
Vol. 2010, no. 1
p. 801580

Abstract

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We define the twisted -Bernoulli polynomials and the twisted generalized -Bernoulli polynomials attached to of higher order and investigate some symmetric properties of them. Furthermore, using these symmetric properties of them, we can obtain some relationships between twisted -Bernoulli numbers and polynomials and between twisted generalized -Bernoulli numbers and polynomials.