Determinantal and permanental representations of convolved Lucas polynomials

Sahin, Adem; Ramírez, José L.

doi:10.1016/j.amc.2016.01.064

Cited by 9 publications

(5 citation statements)

References 14 publications

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“…Fonseca and Petronilho [22] gave explicit inverses of some tridiagonal matrices. Some of the important works on the number sequences are determinant and permanent representations [23][24][25][26][27][28].…”

Section: P Q P Q P Q P Q M M =mentioning

confidence: 99%

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On (p,q)-Rogers-Szegö matrices

Sahin¹

2020

Adıyaman University Journal of Science

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In the present article, we have discussed the (,)-numbers, the Rogers-Szegő polynomial and the (,)-Rogers-Szegő polynomial and have defined the (,)-matrices and the (,)-Rogers-Szegő matrices. We have presented some algebraic properties of these matrices and have proved them. In particular, we have obtained the factorization of these matrices, their inverse matrices, as well as the matrix representations of the (,)-numbers, the Rogers-Szegő polynomials and the (,)-Rogers-Szegő polynomials.

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Section: P Q P Q P Q P Q M M =mentioning

confidence: 99%

“…If we multiply the rth row by and the sth column by of the matrices , and , then the determinant is not altered [23]. In addition, there is a connection between the determinant and permanent of the Hessenberg matrix [26,29].…”

Section: Proofmentioning

confidence: 99%

On (p,q)-Rogers-Szegö matrices

Sahin¹

2020

Adıyaman University Journal of Science

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“…Xu and Zhou [26] studied a determinantal representation for a generalization of the Stirling numbers, called r-Whitney numbers, see also [19]. More examples can be found in [23,24,27].…”

Section: Introductionmentioning

confidence: 99%

Some Determinants Involving Incomplete Fubini Numbers

Komatsu

Ramírez

2018

Analele Universitatii "Ovidius" Constanta - Seria Matematica

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“…Sahin and Ramirez gave a method for determinantal representation of Convolved Lucas polynomials in [24]. Using similar method, we give determinantal representation of C n (x).…”

Section: Determinantal Representation Of Associated Polynomials Cordomentioning

confidence: 99%

On the generalized Perrin and Cordonnier matrices

Sahin

2017

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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C o m m u n . Fa c . S c i. U n iv . A n k . S é r. A 1 M a th . S ta t. Vo lu m e 6 6 , N u m b e r 1 , P a g e s 2 4 2 -2 5 3 (2 0 1 7 ) D O I: 1 0 .1 5 0 1 / C o m m u a 1 _ 0 0 0 0 0 0 0 7 9 3 IS S N 1 3 0 3 -5 9 9 1 ON THE GENERALIZED PERRIN AND CORDONNIER MATRICES ADEMŞAH · INAbstract. In the present paper, we study the associated polynomials of Perrin and Cordonnier numbers. We de…ne generalized Perrin and Cordonnier matrices using these polynomials. We obtain the inverse of generalized Cordonnier matrices and give some relationships between generalized Perrin and Cordonnier matrices. In addition, we give a factorization of generalized Cordonnier matrices. Finally, we give some determinantal representation of associated polynomials Cordonnier numbers.

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Determinantal and permanental representations of convolved Lucas polynomials

Cited by 9 publications

References 14 publications

On (p,q)-Rogers-Szegö matrices

On (p,q)-Rogers-Szegö matrices

Some Determinants Involving Incomplete Fubini Numbers

On the generalized Perrin and Cordonnier matrices

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