Incomplete Bivariate Fibonacci and Lucas p-Polynomials


TAŞCI D., Firengiz M. C., TUĞLU N.

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

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.