On Pell and Pell−Lucas Hybrid Numbers

Anetta Szynal-Liana; Iwona Włoch

Commentationes Mathematicae (2018)

  • Volume: 58, Issue: 1-2
  • ISSN: 2080-1211

Abstract

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In this paper we introduce the Pell and Pell−Lucas hybrid numbers as special kinds of hybrid numbers. We describe some properties of Pell hybrid numbers and Pell−Lucas hybrid numbers among other we give the Binet formula, the character and the generating function for these numbers.

How to cite

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Anetta Szynal-Liana, and Iwona Włoch. "On Pell and Pell−Lucas Hybrid Numbers." Commentationes Mathematicae 58.1-2 (2018): null. <http://eudml.org/doc/295164>.

@article{AnettaSzynal2018,
abstract = {In this paper we introduce the Pell and Pell−Lucas hybrid numbers as special kinds of hybrid numbers. We describe some properties of Pell hybrid numbers and Pell−Lucas hybrid numbers among other we give the Binet formula, the character and the generating function for these numbers.},
author = {Anetta Szynal-Liana, Iwona Włoch},
journal = {Commentationes Mathematicae},
keywords = {Pell numbers; recurrence relations; complex numbers; hyperbolic numbers; dual numbers},
language = {eng},
number = {1-2},
pages = {null},
title = {On Pell and Pell−Lucas Hybrid Numbers},
url = {http://eudml.org/doc/295164},
volume = {58},
year = {2018},
}

TY - JOUR
AU - Anetta Szynal-Liana
AU - Iwona Włoch
TI - On Pell and Pell−Lucas Hybrid Numbers
JO - Commentationes Mathematicae
PY - 2018
VL - 58
IS - 1-2
SP - null
AB - In this paper we introduce the Pell and Pell−Lucas hybrid numbers as special kinds of hybrid numbers. We describe some properties of Pell hybrid numbers and Pell−Lucas hybrid numbers among other we give the Binet formula, the character and the generating function for these numbers.
LA - eng
KW - Pell numbers; recurrence relations; complex numbers; hyperbolic numbers; dual numbers
UR - http://eudml.org/doc/295164
ER -

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