<i>q</i>-GENERALIZATION OF BIPERIODIC FIBONACCI AND LUCAS POLYNOMIALS
Can Kizilates, Mirac Cetin Firengiz, Naim Tuglu
article (Uluslararası, Hakemli) | Yazar(lar): Can Kizilates, Mirac Cetin Firengiz, Naim Tuglu | Yıl: 2017 | Dergi/Kurum: JOURNAL OF MATHEMATICAL ANALYSIS | İndeks: WOS.ESCI | Anahtar Kelimeler: q-Fibonacci polynomial, q-biperiodic Fibonacci polynomials, biperiodic Lucas polynomial — Özet: In this paper, we de fine q-an
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