Incomplete Bivariate Fibonacci and Lucas p-Polynomials

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Atıf İçin Kopyala

TAŞCI D., Firengiz M. C., TUĞLU N.

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012 (SCI-Expanded)

• Yayın Türü: Makale / Derleme
• Basım Tarihi: 2012
• Doi Numarası: 10.1155/2012/840345
• Dergi Adı: DISCRETE DYNAMICS IN NATURE AND SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Gazi Üniversitesi Adresli: Evet

Özet

We define the incomplete bivariate Fibonacci and Lucas p-polynomials. In the case x = 1, y = 1, we obtain the incomplete Fibonacci and Lucas p-numbers. If x = 2, y = 1, we have the incomplete Pell and Pell-Lucas p-numbers. On choosing x = 1, y = 2, we get the incomplete generalized Jacobsthal number and besides for p = 1 the incomplete generalized Jacobsthal-Lucas numbers. In the case x = 1, y = 1, p = 1, we have the incomplete Fibonacci and Lucas numbers. If x = 1, y = 1, p = 1, k = left perpendicular(n - 1)/(p + 1)right perpendicular, we obtain the Fibonacci and Lucas numbers. Also generating function and properties of the incomplete bivariate Fibonacci and Lucas p-polynomials are given.