q-GENERALIZATION OF BIPERIODIC FIBONACCI AND LUCAS POLYNOMIALS

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

JOURNAL OF MATHEMATICAL ANALYSIS, vol.8, no.5, pp.71-85, 2017 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 5
  • Publication Date: 2017
  • Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.71-85
  • Gazi University Affiliated: Yes

Abstract

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