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6 papers · 1 filter
On the Krall-type Askey-Wilson Polynomials
R. Alvarez-Nodarse, R. Sevinik-Adiguzel
In this paper the general Krall-type Askey-Wilson polynomials are introduced. These polynomials are obtained from the Askey-Wilson polynomials via the addition of two mass points t…
On the limit of non-standard q-Racah polynomials
R. Alvarez-Nodarse, R. Sevinik-Adiguzel
The aim of this article is to study the limit transitions from non-standard q-Racah polynomials to big q-Jacobi, dual q-Hahn, and q-Hahn polynomials such that the orthogonality pro…
The q-Racah-Krall-type polynomials
R. Alvarez-Nodarse, R. Sevinik-Adiguzel
In this paper the Krall-type polynomials obtained via the addition of two mass points to the weight function of the \textit{standard} -Racah polynomials are introduced. Several…
Another proof of Pell identities by using the determinant of tridiagonal matrix
Meral Yaşar, Durmuş Bozkurt
In this paper, another proof of Pell identities is presented by using the determinant of tridiagonal matrices. It is calculated via the Laplace expansion.
An Inversion Algorithm for Cyclic Nonadiagonal Matrix
Meral Yaşar, Durmuş Bozkurt
In this paper, we compose a computational algorithm for the determinant and the inverse of the n x n cyclic nonadiagonal matrix. The algorithm is suited for implementation using co…
A Note On The Spectral Norms of The Circulant Matrices Connected Integer Number Sequences
Durmuş Bozkurt
In this paper, we compute the spectral norms of the matrices related with integer squences and we give some example related with Fibonacci, Lucas, Pell and Perrin numbers.