English

A method for obtaining Fibonacci identities

Number Theory 2018-05-18 v4 Information Theory math.IT Numerical Analysis Rings and Algebras

Abstract

For the Lucas sequence {Uk(P,Q)}\{U_{k}(P,Q)\} we discuss the identities such as the well-known Fibonacci identities. We also propose a method for obtaining identities involving recurrence sequences. With the help of which we find an interpolating type identity for second order linear recurrences.

Keywords

Cite

@article{arxiv.1610.03883,
  title  = {A method for obtaining Fibonacci identities},
  author = {Dmitry I. Khomovsky},
  journal= {arXiv preprint arXiv:1610.03883},
  year   = {2018}
}
R2 v1 2026-06-22T16:19:14.972Z