Yıl: 2022 Cilt: 46 Sayı: 6 Sayfa Aralığı: 2068 - 2077 Metin Dili: İngilizce DOI: 10.55730/1300-0098.3254 İndeks Tarihi: 09-12-2022

On generalized Fibonacci and Lucas hybrid polynomials

Öz:
In this paper, we introduce a new generalization of Fibonacci and Lucas hybrid polynomials. We investigate some basic properties of these polynomials such as recurrence relations, the generating functions, the Binet formulas, summation formulas, and a matrix representation. We derive generalized Cassini’s identity and generalized Honsberger formula for generalized Fibonacci hybrid polynomials by using their matrix representation.
Anahtar Kelime: r -Fibonacci polynomial r -Lucas polynomial hybrid number

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
APA AIT-AMRANE N, Belbachir H, Tan E (2022). On generalized Fibonacci and Lucas hybrid polynomials. , 2068 - 2077. 10.55730/1300-0098.3254
Chicago AIT-AMRANE Nacima Rosa,Belbachir Hacène,Tan Elif On generalized Fibonacci and Lucas hybrid polynomials. (2022): 2068 - 2077. 10.55730/1300-0098.3254
MLA AIT-AMRANE Nacima Rosa,Belbachir Hacène,Tan Elif On generalized Fibonacci and Lucas hybrid polynomials. , 2022, ss.2068 - 2077. 10.55730/1300-0098.3254
AMA AIT-AMRANE N,Belbachir H,Tan E On generalized Fibonacci and Lucas hybrid polynomials. . 2022; 2068 - 2077. 10.55730/1300-0098.3254
Vancouver AIT-AMRANE N,Belbachir H,Tan E On generalized Fibonacci and Lucas hybrid polynomials. . 2022; 2068 - 2077. 10.55730/1300-0098.3254
IEEE AIT-AMRANE N,Belbachir H,Tan E "On generalized Fibonacci and Lucas hybrid polynomials." , ss.2068 - 2077, 2022. 10.55730/1300-0098.3254
ISNAD AIT-AMRANE, Nacima Rosa vd. "On generalized Fibonacci and Lucas hybrid polynomials". (2022), 2068-2077. https://doi.org/10.55730/1300-0098.3254
APA AIT-AMRANE N, Belbachir H, Tan E (2022). On generalized Fibonacci and Lucas hybrid polynomials. Turkish Journal of Mathematics, 46(6), 2068 - 2077. 10.55730/1300-0098.3254
Chicago AIT-AMRANE Nacima Rosa,Belbachir Hacène,Tan Elif On generalized Fibonacci and Lucas hybrid polynomials. Turkish Journal of Mathematics 46, no.6 (2022): 2068 - 2077. 10.55730/1300-0098.3254
MLA AIT-AMRANE Nacima Rosa,Belbachir Hacène,Tan Elif On generalized Fibonacci and Lucas hybrid polynomials. Turkish Journal of Mathematics, vol.46, no.6, 2022, ss.2068 - 2077. 10.55730/1300-0098.3254
AMA AIT-AMRANE N,Belbachir H,Tan E On generalized Fibonacci and Lucas hybrid polynomials. Turkish Journal of Mathematics. 2022; 46(6): 2068 - 2077. 10.55730/1300-0098.3254
Vancouver AIT-AMRANE N,Belbachir H,Tan E On generalized Fibonacci and Lucas hybrid polynomials. Turkish Journal of Mathematics. 2022; 46(6): 2068 - 2077. 10.55730/1300-0098.3254
IEEE AIT-AMRANE N,Belbachir H,Tan E "On generalized Fibonacci and Lucas hybrid polynomials." Turkish Journal of Mathematics, 46, ss.2068 - 2077, 2022. 10.55730/1300-0098.3254
ISNAD AIT-AMRANE, Nacima Rosa vd. "On generalized Fibonacci and Lucas hybrid polynomials". Turkish Journal of Mathematics 46/6 (2022), 2068-2077. https://doi.org/10.55730/1300-0098.3254