BI-PERIODIC INCOMPLETE LUCAS SEQUENCES

TAN E., EKİN A. B.

ARS COMBINATORIA, cilt.123, ss.371-380, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 123
  • Basım Tarihi: 2015
  • Dergi Adı: ARS COMBINATORIA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.371-380
  • Anahtar Kelimeler: bi-periodic incomplete Lucas sequences, bi-periodic Lucas sequence, generating function, FIBONACCI
  • Ankara Üniversitesi Adresli: Evet

Özet

Motivated by the recent work by Ramirez [8], related to the bi-periodic Fibonacci sequences, here we introduce the bi-periodic incomplete Lucas sequences that gives the incomplete Lucas sequence as a special case. We also give recurrence relations and the generating function of these sequences. Also, we give a relation between bi-periodic incomplete Fibonacci sequences and bi-periodic incomplete Lucas sequences.