TY - JOUR T1 - A NOTE ON LAGUERRE MATRIX POLYNOMIALS AU - Çevik, Ali AU - Altın, Abdullah PY - 2015 DA - October DO - 10.36753/mathenot.421331 JF - Mathematical Sciences and Applications E-Notes JO - Math. Sci. Appl. E-Notes PB - Murat TOSUN WT - DergiPark SN - 2147-6268 SP - 54 EP - 57 VL - 3 IS - 2 LA - en AB - In this paper, some new relations for Laguerre matrix polynomialsare given. KW - Laguerre matrix polynomials CR - [1] Aktaş, R., Çekim, B. and C¸ evik, A., Extended Jacobi matrix polynomials. Util. Math. 92 (2013), 47-64. CR - [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. CR - [3] Altın, A. and Çekim, B., Some properties associated with Hermite matrix polynomials. Util. Math. 88 (2012), 171-181. CR - [4] Batahan, R.S., A new extension of Hermite matrix polynomials and its applications. Linear Algebra Appl. 419 (2006), 82–92. CR - [5] Çekim, B., New kinds of matrix polynomials. Miskolc Math. Notes 14 (2013), no. 3, 817-826. CR - [6] Çekim, B. and Altın, A., New matrix formulas for Laguerre matrix polynomials. Journal of Classical Analysis 3 (2013), no. 1, 59-67. CR - [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. CR - [8]Çevik, A., Multivariable construction of extended Jacobi matrix polynomials. J. Inequal. Spec. Funct. 4 (2013), no. 3, 6-21. CR - [9] Defez, E. and Jodar, L., Some applications of the Hermite matrix polynomials series expansions. J. Comp. Appl. Math. 99 (1998), 105-117. CR - [10] Defez, E. and Jodar, L., Chebyshev matrix polynomials and second order matrix differential equations. Util. Math. 61 (2002), 107-123. CR - [11] Defez, E., Jodar, L. and Law, A., Jacobi matrix differential equation, polynomial solutions and their properties. Comput. Math. Appl. 48 (2004), 789-803. CR - [12] Defez, E., Jodar, L., Law, A. and Ponsoda, E., Three-term recurrences and matrix orthogonal polynomials. Util. Math. 57 (2000), 129-146. CR - [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. CR - [14] Dunford, N. and Schwartz, J., Linear Operators. Vol. I, Interscience, New York, 1957. CR - [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. CR - [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. CR - [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. CR - [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. CR - [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. CR - [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. CR - [21] Jodar, L. and Sastre, J., On Laguerre matrix polynomials. Util. Math. 53 (1998), 37-48. CR - [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. CR - [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. CR - [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. UR - https://doi.org/10.36753/mathenot.421331 L1 - https://dergipark.org.tr/en/download/article-file/468458 ER -