In this paper, we determine the conics characterizing the generalized Fibonacci and Lucas sequences with indices in arithmetic progressions, generalizing work of Melham and McDaniel.

A new class of generalized Laguerre-based poly-Bernoulli polynomials are discussed with an attempt to generate new and interesting identities, some are in relation with Stirling number of the second kind. Different analytical means and generating function method is incorporated to derive implicit summation formulae and symmetry identities for generalized Laguerre poly-Bernoulli polynomials. It ...

We give new descriptions of the factors of Dickson polynomials over finite fields in terms of cyclotomic factors. To do this generalized reciprocal polynomials are introduced and characterized. We also study the factorization of generalized cyclotomic polynomials and their relationship to the factorization of Dickson polynomials.