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Makale Tam Makale Uluslararası 2015

The Pell-Padovan p-Sequences and Its Applications

ÖMÜR DEVECİ, Yesim Akuzum, Erdal Karaduman

UTILITAS MATHEMATICA Cilt 98 · ss. 327–347 · 01.11.2015

Özet

In this paper, we define the Pell-Padovan p-numbers then we obtain the generating matrix, permanental representation, the Binet formula, the generating function, the exponential representation, the combinatorial representations and the sums of the Pell-Padovan p-numbers. Also, we study the Pell-Padovan p-numbers modulo m. Furthermore, we extend the Pell-Padovan p-sequences to generated groups by two or more elements. Finally, we obtain the lengths of the periods of the Pell-Padovan p-sequences in the unimodular group m(2) the modular group m(2)(+) which is an index 2 subgroup of TT, and the group R-2 which is a commutator subgroup of m(2).

Anahtar kelimeler

group matrix FINITE-GROUPS MODULO-M SEQUENCE representations Length MATRICES Pell-Padovan p-numbers FIBONACCI SEQUENCES LUCAS-NUMBERS BIPARTITE GRAPHS BINET FORMULAS SUMS

Atıf için künye

DEVECİ, Ö., Akuzum, Y., & Karaduman, E. (2015). The Pell-Padovan p-Sequences and Its Applications. UTILITAS MATHEMATICA, 98, 327–347.

BibTeX 
@article{deveci2015-73579,
  author = {DEVECİ, ÖMÜR and Akuzum, Yesim and Karaduman, Erdal},
  title = {The Pell-Padovan p-Sequences and Its Applications},
  journal = {UTILITAS MATHEMATICA},
  year = {2015},
  volume = {98},
  pages = {327--347},
  issn = {0315-3681},
  url = {https://akademik.atauni.edu.tr/yayinlar/73579-the-pell-padovan-p-sequences-and-its-applications}
}