Rising factorial Bernoulli polynomials

A. G. Shannon
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 14, 2008, Number 1, Pages 1—5
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Authors and affiliations

A. G. Shannon
Warrane College, The University of New South Wales, Kensington 1465, &
Raffles College, 99 Mount Street, North Sydney, NSW 2065, Australia


This paper considers some properties of rising binomial coefficients and two analogs of the Bernoulli polynomials which can be developed from them.


  • q-series
  • Binomial coefficients
  • Rising factorials
  • Generalized Bernoulli polynomials
  • Gauss–Cayley generalizations
  • Fermatians

AMS Classification

  • 11B65
  • 11B39
  • 05A30


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Cite this paper

Shannon A. G. (2008). Rising factorial Bernoulli polynomials. Notes on Number Theory and Discrete Mathematics, 14(1), 1-5.

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