Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2015, Cilt: 3 Sayı: 2, 54 - 57, 30.10.2015
https://doi.org/10.36753/mathenot.421331

Öz

Kaynakça

  • [1] Aktaş, R., Çekim, B. and C¸ evik, A., Extended Jacobi matrix polynomials. Util. Math. 92 (2013), 47-64.
  • [2] Altın, A. and Çekim, B., Generating matrix functions for Chebyshev matrix polynomials of the second kind. Hacet. J. Math. Stat. 41 (2012), no. 1, 25–32.
  • [3] Altın, A. and Çekim, B., Some properties associated with Hermite matrix polynomials. Util. Math. 88 (2012), 171-181.
  • [4] Batahan, R.S., A new extension of Hermite matrix polynomials and its applications. Linear Algebra Appl. 419 (2006), 82–92.
  • [5] Çekim, B., New kinds of matrix polynomials. Miskolc Math. Notes 14 (2013), no. 3, 817-826.
  • [6] Çekim, B. and Altın, A., New matrix formulas for Laguerre matrix polynomials. Journal of Classical Analysis 3 (2013), no. 1, 59-67.
  • [7] Çekim, B., Altın, A. and Akta¸s, R., Some relations satisfied by orthogonal matrix polynomials. Hacet. J. Math. Stat. 40 (2011), no. 2, 241-253.
  • [8]Çevik, A., Multivariable construction of extended Jacobi matrix polynomials. J. Inequal. Spec. Funct. 4 (2013), no. 3, 6-21.
  • [9] Defez, E. and Jodar, L., Some applications of the Hermite matrix polynomials series expansions. J. Comp. Appl. Math. 99 (1998), 105-117.
  • [10] Defez, E. and Jodar, L., Chebyshev matrix polynomials and second order matrix differential equations. Util. Math. 61 (2002), 107-123.
  • [11] Defez, E., Jodar, L. and Law, A., Jacobi matrix differential equation, polynomial solutions and their properties. Comput. Math. Appl. 48 (2004), 789-803.
  • [12] Defez, E., Jodar, L., Law, A. and Ponsoda, E., Three-term recurrences and matrix orthogonal polynomials. Util. Math. 57 (2000), 129-146.
  • [13] Defez, E., Hervas, A., Law, A., Villanueva-Oller, J. and Villanueva, R.J., Progressive transmission of images: PC-based computations, using orthogonal matrix polynomials. Mathl. Comput. Modelling 32 (2000), 1125-1140.
  • [14] Dunford, N. and Schwartz, J., Linear Operators. Vol. I, Interscience, New York, 1957.
  • [15] Grünbaum, F.A., Pacharoni, I. and Tirao, J.A., Matrix valued orthogonal polynomials of the Jacobi type. Indag. Math. (N.S.) 14 (2003), no. 3-4, 353-366.
  • [16] Jodar, L. and Company, R., Hermite matrix polynomials and second order matrix differential equations. J. Approx. Theory Appl. 12 (1996), no. 2, 20-30.
  • [17] Jodar, L., Company, R. and Navarro, E., Laguerre matrix polynomials and systems of second order differential equations. Appl. Num. Math. 15 (1994), 53-63.
  • [18] Jodar, L., Company, R. and Ponsoda, E., Orthogonal matrix polynomials and systems of second order differential equations. Differ. Equ. Dyn. Syst. 3 (1995), no.3, 269-288.
  • [19] Jodar, L. and Cort´es, J.C., Closed form general solution of the hypergeometric matrix differential equation. Math. Comput. Modelling 32 (2000), 1017-1028.
  • [20] Jodar, L. and Defez, E., A connection between Laguerre’s and Hermite’s matrix polynomials. Appl. Math. Lett. 11 (1998), no. 1, 13-17.
  • [21] Jodar, L. and Sastre, J., On Laguerre matrix polynomials. Util. Math. 53 (1998), 37-48.
  • [22] Sayyed, K.A.M., Metwally, M.S. and Batahan, R.S., On generalized Hermite matrix polynomials. Electron. J. Linear Algebra 10 (2003), 272-279.
  • [23] Sayyed, K.A.M., Metwally, M.S. and Batahan, R.S., Gegenbauer matrix polynomials and second order matrix differential equations. Divulg. Mat. 12 (2004), 101-115.
  • [24] Taşdelen, F., Çekim, B. and Aktaş, R., On a multivariable extension of Jacobi matrix polynomials. Comput. Math. Appl. 61 (2011), no. 9, 2412-2423.

A NOTE ON LAGUERRE MATRIX POLYNOMIALS

Yıl 2015, Cilt: 3 Sayı: 2, 54 - 57, 30.10.2015
https://doi.org/10.36753/mathenot.421331

Öz

In this paper, some new relations for Laguerre matrix polynomials
are given.

Kaynakça

  • [1] Aktaş, R., Çekim, B. and C¸ evik, A., Extended Jacobi matrix polynomials. Util. Math. 92 (2013), 47-64.
  • [2] Altın, A. and Çekim, B., Generating matrix functions for Chebyshev matrix polynomials of the second kind. Hacet. J. Math. Stat. 41 (2012), no. 1, 25–32.
  • [3] Altın, A. and Çekim, B., Some properties associated with Hermite matrix polynomials. Util. Math. 88 (2012), 171-181.
  • [4] Batahan, R.S., A new extension of Hermite matrix polynomials and its applications. Linear Algebra Appl. 419 (2006), 82–92.
  • [5] Çekim, B., New kinds of matrix polynomials. Miskolc Math. Notes 14 (2013), no. 3, 817-826.
  • [6] Çekim, B. and Altın, A., New matrix formulas for Laguerre matrix polynomials. Journal of Classical Analysis 3 (2013), no. 1, 59-67.
  • [7] Çekim, B., Altın, A. and Akta¸s, R., Some relations satisfied by orthogonal matrix polynomials. Hacet. J. Math. Stat. 40 (2011), no. 2, 241-253.
  • [8]Çevik, A., Multivariable construction of extended Jacobi matrix polynomials. J. Inequal. Spec. Funct. 4 (2013), no. 3, 6-21.
  • [9] Defez, E. and Jodar, L., Some applications of the Hermite matrix polynomials series expansions. J. Comp. Appl. Math. 99 (1998), 105-117.
  • [10] Defez, E. and Jodar, L., Chebyshev matrix polynomials and second order matrix differential equations. Util. Math. 61 (2002), 107-123.
  • [11] Defez, E., Jodar, L. and Law, A., Jacobi matrix differential equation, polynomial solutions and their properties. Comput. Math. Appl. 48 (2004), 789-803.
  • [12] Defez, E., Jodar, L., Law, A. and Ponsoda, E., Three-term recurrences and matrix orthogonal polynomials. Util. Math. 57 (2000), 129-146.
  • [13] Defez, E., Hervas, A., Law, A., Villanueva-Oller, J. and Villanueva, R.J., Progressive transmission of images: PC-based computations, using orthogonal matrix polynomials. Mathl. Comput. Modelling 32 (2000), 1125-1140.
  • [14] Dunford, N. and Schwartz, J., Linear Operators. Vol. I, Interscience, New York, 1957.
  • [15] Grünbaum, F.A., Pacharoni, I. and Tirao, J.A., Matrix valued orthogonal polynomials of the Jacobi type. Indag. Math. (N.S.) 14 (2003), no. 3-4, 353-366.
  • [16] Jodar, L. and Company, R., Hermite matrix polynomials and second order matrix differential equations. J. Approx. Theory Appl. 12 (1996), no. 2, 20-30.
  • [17] Jodar, L., Company, R. and Navarro, E., Laguerre matrix polynomials and systems of second order differential equations. Appl. Num. Math. 15 (1994), 53-63.
  • [18] Jodar, L., Company, R. and Ponsoda, E., Orthogonal matrix polynomials and systems of second order differential equations. Differ. Equ. Dyn. Syst. 3 (1995), no.3, 269-288.
  • [19] Jodar, L. and Cort´es, J.C., Closed form general solution of the hypergeometric matrix differential equation. Math. Comput. Modelling 32 (2000), 1017-1028.
  • [20] Jodar, L. and Defez, E., A connection between Laguerre’s and Hermite’s matrix polynomials. Appl. Math. Lett. 11 (1998), no. 1, 13-17.
  • [21] Jodar, L. and Sastre, J., On Laguerre matrix polynomials. Util. Math. 53 (1998), 37-48.
  • [22] Sayyed, K.A.M., Metwally, M.S. and Batahan, R.S., On generalized Hermite matrix polynomials. Electron. J. Linear Algebra 10 (2003), 272-279.
  • [23] Sayyed, K.A.M., Metwally, M.S. and Batahan, R.S., Gegenbauer matrix polynomials and second order matrix differential equations. Divulg. Mat. 12 (2004), 101-115.
  • [24] Taşdelen, F., Çekim, B. and Aktaş, R., On a multivariable extension of Jacobi matrix polynomials. Comput. Math. Appl. 61 (2011), no. 9, 2412-2423.
Toplam 24 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Ali Çevik

Abdullah Altın Bu kişi benim

Yayımlanma Tarihi 30 Ekim 2015
Gönderilme Tarihi 17 Nisan 2015
Yayımlandığı Sayı Yıl 2015 Cilt: 3 Sayı: 2

Kaynak Göster

APA Çevik, A., & Altın, A. (2015). A NOTE ON LAGUERRE MATRIX POLYNOMIALS. Mathematical Sciences and Applications E-Notes, 3(2), 54-57. https://doi.org/10.36753/mathenot.421331
AMA Çevik A, Altın A. A NOTE ON LAGUERRE MATRIX POLYNOMIALS. Math. Sci. Appl. E-Notes. Ekim 2015;3(2):54-57. doi:10.36753/mathenot.421331
Chicago Çevik, Ali, ve Abdullah Altın. “A NOTE ON LAGUERRE MATRIX POLYNOMIALS”. Mathematical Sciences and Applications E-Notes 3, sy. 2 (Ekim 2015): 54-57. https://doi.org/10.36753/mathenot.421331.
EndNote Çevik A, Altın A (01 Ekim 2015) A NOTE ON LAGUERRE MATRIX POLYNOMIALS. Mathematical Sciences and Applications E-Notes 3 2 54–57.
IEEE A. Çevik ve A. Altın, “A NOTE ON LAGUERRE MATRIX POLYNOMIALS”, Math. Sci. Appl. E-Notes, c. 3, sy. 2, ss. 54–57, 2015, doi: 10.36753/mathenot.421331.
ISNAD Çevik, Ali - Altın, Abdullah. “A NOTE ON LAGUERRE MATRIX POLYNOMIALS”. Mathematical Sciences and Applications E-Notes 3/2 (Ekim 2015), 54-57. https://doi.org/10.36753/mathenot.421331.
JAMA Çevik A, Altın A. A NOTE ON LAGUERRE MATRIX POLYNOMIALS. Math. Sci. Appl. E-Notes. 2015;3:54–57.
MLA Çevik, Ali ve Abdullah Altın. “A NOTE ON LAGUERRE MATRIX POLYNOMIALS”. Mathematical Sciences and Applications E-Notes, c. 3, sy. 2, 2015, ss. 54-57, doi:10.36753/mathenot.421331.
Vancouver Çevik A, Altın A. A NOTE ON LAGUERRE MATRIX POLYNOMIALS. Math. Sci. Appl. E-Notes. 2015;3(2):54-7.

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