Volume 14 ▶ Number 1 ▷ Number 2 ▷ Number 3 ▷ Number 4
Rising factorial Bernoulli polynomials
Original research paper. Pages 1–5
A. G. Shannon
Full paper (38 Kb) | Abstract
This paper considers some properties of rising binomial coefficients and two analogs of the Bernoulli polynomials which can be developed from them.
A q-series Bernoulli–Euler partition formula
Original research paper. Pages 6–9
A. G. Shannon
Full paper (34 Kb) | Abstract
This paper utilized a modification of q-series to develop some partition formulas in the tradition of Bernoulli–Euler–Rogers–Ramanujan identities. Many of the ideas owe their development to the detailed pioneering work of Leonard Carlitz, with the added acknowledgement to the creative work currently being done by other number theorists working in this fertile area.
Some relations involving Bernoulli numbers
Original research paper. Pages 10–12
Peter Vassilev and Mladen Vassilev-Missana
Full paper (93 Kb) | Abstract
In the present note some identities involving Bernoulli numbers and binomial coefficients are considered.
Extension of an elementary equality
Original research paper. Pages 13–15
Krassimir Atanassov
Full paper (116 Kb)
Inequalities related to φ, ψ and σ-functions (III)
Original research paper. Pages 16–24
Krassimir Atanassov
Full paper (2951 Kb)
