q-GENERALIZATION OF BIPERIODIC FIBONACCI AND LUCAS POLYNOMIALS
JOURNAL OF MATHEMATICAL ANALYSIS, cilt.8, sa.5, ss.71-85, 2017 (ESCI)
- 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