q-GENERALIZATION OF BIPERIODIC FIBONACCI AND LUCAS POLYNOMIALS

KIZILATEŞ C., Firengiz M. C., TUĞLU N.

JOURNAL OF MATHEMATICAL ANALYSIS, cilt.8, sa.5, ss.71-85, 2017 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 5
  • Basım Tarihi: 2017
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.71-85
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we de fine q-analogue of the biperiodic Fibonacci and Lucas polynomials. We obtain generating function and several properties of these polynomials. We also define q-analogue of the biperiodic incomplete Fibonacci and Lucas polynomials. We show that these polynomials satisfy nonlinear recurrence relations. Then we prove several summation formulas for the biperiodic incomplete q-Fibonacci and q-Lucas polynomials