On the derivatives of bivariate Fibonacci polynomials

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Cakmak T., KARADUMAN E.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, cilt.24, sa.3, ss.37-46, 2018 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 24 Sayı: 3
• Basım Tarihi: 2018
• Doi Numarası: 10.7546/nntdm.2018.24.3.37-46
• Dergi Adı: NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.37-46
• Atatürk Üniversitesi Adresli: Evet

Özet

In this study, the new algebraic properties related to bivariate Fibonacci polynomials have been given. We present the partial derivatives of these polynomials in the form of convolution of bivariate Fibonacci polynomials. Also, we define a new recurrence relation for the r-th partial derivative sequence of bivariate Fibonacci polynomials.