Incomplete Bivariate Fibonacci and Lucas p‐Polynomials
Copyright policy )Incomplete Bivariate Fibonacci and Lucas p‐Polynomials
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 = ⌊(n − 1)/(p + 1)⌋, we obtain the Fibonacci and Lucas numbers. Also generating function and properties of the incomplete bivariate Fibonacci and Lucas p‐polynomials are given.
- Başkent University Turkey
- Gazi University Turkey
- Başkent University Hospital Turkey
incomplete generalized Jacobsthal-Lucas numbers, incomplete bivariate Fibonacci \(p\)-polynomials, incomplete Pell \(p\)-numbers, incomplete Lucas \(p\)-numbers, incomplete generalized Jacobsthal number, incomplete Fibonacci numbers, incomplete Lucas numbers, incomplete Fibonacci \(p\)-numbers, QA1-939, Fibonacci and Lucas numbers and polynomials and generalizations, incomplete Pell-Lucas \(p\)-numbers, incomplete bivariate Lucas \(p\)-polynomials, Mathematics
incomplete generalized Jacobsthal-Lucas numbers, incomplete bivariate Fibonacci \(p\)-polynomials, incomplete Pell \(p\)-numbers, incomplete Lucas \(p\)-numbers, incomplete generalized Jacobsthal number, incomplete Fibonacci numbers, incomplete Lucas numbers, incomplete Fibonacci \(p\)-numbers, QA1-939, Fibonacci and Lucas numbers and polynomials and generalizations, incomplete Pell-Lucas \(p\)-numbers, incomplete bivariate Lucas \(p\)-polynomials, Mathematics
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