[1]
|
A. G. Constantine and R. J. Mairhead, “Partial Differential Equations for Hypergeometric Functions of Two Argument Matrices,” Journal of Multivariate Analysis, Vol. 2, No. 3, 1972, pp. 332-338.
doi:10.1016/0047-259X(72)90020-6.
|
[2]
|
R. J. Muirhead, “Systems of Partial Differential Equations for Hypergeometric Functions of Matrix Argument,” Annals of Mathematical Statistics, Vol. 40, No. 3, 1970, pp. 991-1001. doi:10.1214/aoms/1177696975
|
[3]
|
A. Terras, “Special Functions the Symmetric Space of Positive Matrices,” SIAM Journal on Mathematical Analysis, Vol. 16, No. 3, 1985, pp. 620-640.
doi:10.1137/0516046
|
[4]
|
A. T. James, “Special Functions of Matrix and Single Argument in Statistics in Theory and Application of Special Functions,” Academic Press, New York, 1975.
|
[5]
|
A. J. Duran, “Markov’s Theorem for Orthogonal Matrix Polynomials,” Canadian Journal of Mathematics, Vol. 48, 1996, pp. 1180-1195. doi:10.4153/CJM-1996-062-4
|
[6]
|
A. J. Duran and W. Van Assche, “Orthogonal Matrix Polynomials and Higher Order Recurrence Relations,” Linear Algebra and Its Applications, Vol. 219, No. 1, 1995, pp. 261-280. doi:10.1016/0024-3795(93)00218-O.
|
[7]
|
L. Jodar and J. Sastre, “The Growth of Laguerre Matrix Polynomials on Bounded Inervals,” Applied Mathematics Letters, Vol. 13, No. 8, 2000, pp. 21- 26.
doi:10.1016/S0893-9659(00)00090-2.
|
[8]
|
L. Jodar, R. Company and E. Navarro, “Laguerre Matrix Polynomials and Systems of Second Order Differential Equations,” Applied Numerical Mathematics, Vol. 15, No. 1, 1994, pp. 53-63. doi:10.1016/0168-9274(94)00012-3.
|
[9]
|
A. Sinap and W. Van Assch, “Orthogonal Matrix Polynomials and Applications,” Journal of Computational and Applied Mathematics, Vol. 66, No. 1-2, 1996, pp. 27-52.
doi:10.1016/0377-0427(95)00193-X.
|
[10]
|
S. Saks and A. Zygmund, “Analytic Functions,” Elsevier, Amsterdam, 1971.
|
[11]
|
N. Dunford and J. Schwartz, “Linear Operators, Part I,” Interscience, New York, 1955.
|
[12]
|
L. Jodar and J. C. Cortés, “On the Hypergeometric Matrix Function,” Journal of Computational and Applied Mathematics, Vol. 99, No. 1-2, 1998, pp. 205-217.
doi:10.1016/S0377-0427(98)00158-7
|
[13]
|
G. S. Khammash, “A Study of a Two Variables Gegenbauer Matrix Polynomials and Second Order Partial Matrix Differential Equations,” International Journal of Mathematical Analysis, Vol. 2, No. 17, 2008, pp. 807-821.
|
[14]
|
E. Defez and L. Jodar, “Some Applications of the Hermite Matrix Polynomials Series Expansions,” Journal of Computational and Applied Mathematics, Vol. 99, No. 1-2, 1998, pp. 105-117.
doi:10.1016/S0377-0427(98)00149-6.
|
[15]
|
E. Hille, “Lectures on Ordinary Differential Equations,” Addison-Wesley, New York, 1969.
|
[16]
|
L. Jodar and J. C. Cortés, “Some Properties of Gamma and Beta Matrix Functions,” Applied Mathematics Letters, Vol. 11, No. 1, 1998, pp. 89-93.
doi:10.1016/S0893-9659(97)00139-0
|
[17]
|
E. D. Rainvlle, “Special Functions,” Chelsea Publishing Co., Bronx, New York, 1960.
|
[18]
|
R. S. Batahan, “Anew Extension of Hermite Matrix Polynomials and Its Applications,” Linear Algebra and Its Applications, Vol. 419, No. 1, 2006, pp. 82-92.
doi:10.1016/j.laa.2006.04.006
|