TY - JOUR TI - On Dual-Complex Numbers with Generalized Fibonacci and Lucas Numbers Coefficients AB - In this paper, dual-complex Fibonacci numbers with generalized Fibonacci and Lucas coefficients aredefined. Generating function is given for this number system. Binet’s formula is obtained by the help ofthis generating function. Then, well-known Cassini, Catalan, d’Ocagne’s, Honsberger, Tagiuri and otheridentities are given for this number system. Finally, it is seen that the theorems and the equations whichare obtained for the special values p = 1 and q = 0 correspond to the theorems and identities in [2]. AU - Sürekçi, Arzu AU - Gungor, Mehmet Ali AU - Azak, Ayşe Zeynep DO - 10.36753/MATHENOT.621602 PY - 2020 JO - Mathematical Sciences and Applications E-Notes VL - 8 IS - 1 SN - 2147-6268 SP - 55 EP - 68 DB - TRDizin UR - http://search/yayin/detay/400248 ER -