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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/167782026-10-18T20:38:53Zopenairedrivercom_ebyu_10000col_ebyu_10001

2-Fibonacci polynomials in the family of Fibonacci numbersOzkan, EnginTastan, MerveAydogdu, AliFibonacci numbersFibonacci polynomialsGeneralized Fibonacci polynomialsCONVOLVED GENERALIZED FIBONACCIMathematicsIn the present study, we define new 2-Fibonacci polynomials by using terms of a new family of Fibonacci numbers given in [4]. We show that there is a relationship between the coefficient of the 2-Fibonacci polynomials and Pascal's triangle. We give some identities of the 2-Fibonacci polynomials. Afterwards, we compare the polynomials with known Fibonacci polynomials. We also express 2-Fibonacci polynomials by the Fibonacci polynomials. Furthermore, we prove some theorems related to the polynomials. Also, we introduce the derivative of the 2-Fibonacci polynomials.BULGARIAN ACAD SCIENCE2018Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/16778https://doi.org/10.7546/nntdm.2018.24.3.47-551310-5132enNOTES ON NUMBER THEORY AND DISCRETE MATHEMATICSinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/16778