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 作者：Sukran Uygun , Arzum Erdogdu 来源：[J].Journal of Mathematical and Computational Science, 2017, Vol.7 (6), pp.1100-1114 摘要：In this paper, we define the binomial, k−binomial, rising, and falling transforms for k−Jacobsthal sequence. We investigate some properties of these sequences such as recurrence relations, Binet's formula, generating functions and in the sequel of this paper denote Pascal Ja...
 作者：Sukran Uygun , Aydan Zorcelik 来源：[J].Journal of Mathematical and Computational Science, 2018, Vol.8 (3), pp.331-344 摘要：In this study, we consider sequences named bivariate Jacobsthal, bivariate Jacobsthal Lucas polynomial sequences. After that, by using these sequences, we define bivariate Jacobsthal and bivariate Jacobsthal-Lucas matrix polynomial sequences. Finally we investigate some propertie...
 作者：Sukran Uygun , Evans Owusu 来源：[J].Journal of Advances in Mathematics and Computer Science, 2020, pp.1-13 摘要：In this study, we bring into light a new generalization of the Jacobsthal Lucas numbers, which shall also be called the bi-periodic Jacobsthal Lucas sequence as with initial conditions $$\ \hat{c}_{0}=2,\ \hat{c}_{1}=a.$$ The Binet formula as well as the generating function for t...
 作者：Sukran Uygun , Evans Owusu 来源：[J].Journal of Advances in Mathematics and Computer Science, 2020, pp.1-12 摘要：In this paper, we bring into light the matrix representation of bi-periodic Jacobsthal sequence, which we shall call the bi-periodic Jacobsthal matrix sequence. We dene it as with initial conditions J0 = I identity matrix, . We obtained the nth general term of this new matrix seq...