Title of article :
Generalized Van der Laan and Perrin Polynomials, and Generalizations of Van der Laan and Perrin Numbers
Author/Authors :
Kaygısız, Kenan Gaziosmanpaşa University - Faculty of Arts and Sciences - Department of Mathematics, Turkiye , Sahin, Adem Gaziosmanpaşa University - Faculty of Arts and Sciences - Department of Mathematics, Turkiye
Abstract :
In this paper, we present k sequences of generalized Van der Laan polynomials and generalized Perrin polynomials by using generalized Fibonacci and Lucas polynomials. We give some properties of these polynomials. We also obtain generalized order-k Van der Laan numbers, k sequences of generalized order-k Van der Laan numbers, generalized order-k Perrin numbers and k sequences of generalized order-k Perrin numbers. In addition, we examine relationships between them.
Keywords :
Padovan numbers , Cordonnier numbers , generalized Van der Laan polynomials , generalized Perrin polynomials , k sequences of the generalized Van der Laan and Perrin polynomials
Journal title :
Selcuk Journal of Applied Mathematics
Journal title :
Selcuk Journal of Applied Mathematics
