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On the bicomplex generalized tribonacci quaternions

Kizilateş C. | Catarino P. | Tuğlu N.

Article | 2019 | Mathematics7 ( 1 )

In this paper, we introduce the bicomplex generalized tribonacci quaternions. Furthermore, Binet's formula, generating functions, and the summation formula for this type of quaternion are given. Lastly, as an application, we present the determinant of a special matrix, and we show that the determinant is equal to the nth term of the bicomplex generalized tribonacci quaternions. © 2019 by the author.

Tribonacci and Tribonacci-Lucas sedenions

Soykan Y.

Article | 2019 | Mathematics7 ( 1 )

The sedenions form a 16-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tribonacci and Tribonacci-Lucas sedenions. Furthermore, we present some properties of these sedenions and derive relationships between them. © 2019 by the author.

On the (p, q)-Chebyshev polynomials and related polynomials

Kizilateş C. | Tuğlu N. | Çekim B.

Article | 2019 | Mathematics7 ( 2 )

In this paper, we introduce (p, q)-Chebyshev polynomials of the first and second kind that reduces the (p, q)-Fibonacci and the (p, q)-Lucas polynomials. These polynomials have explicit forms and generating functions are given. Then, derivative properties between these first and second kind polynomials, determinant representations, multilateral and multilinear generating functions are derived. © 2019 by the authors.

6698 sayılı Kişisel Verilerin Korunması Kanunu kapsamında yükümlülüklerimiz ve çerez politikamız hakkında bilgi sahibi olmak için alttaki bağlantıyı kullanabilirsiniz.

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