[1]
|
A. G. Constantine and R. J. Mairhead, “Partial Differential Equations for Hypergeometric Function of Two Argument Matrix,” Journal of Multivariate Analysis, Vol. 2, No. 3, 1972, pp. 332-338.
doi:10.1016/0047-259X(72)90020-6
|
[2]
|
A.T. James, “Special Functions of Matrix and Single Argument in Statistics in Theory and Application of Special Functions,” Academic Press, New York, 1975.
|
[3]
|
A. M. Mathai, “A Handbook of Generalized Special Functions for Statistical and Physical Sciences,” Oxford University Press, Oxford, 1993.
|
[4]
|
A. M. Mathai, “Jacobians of Matrix Transformations and Functions of Matrix Argument,” World Scientific Publishing, New York, 1997.
|
[5]
|
L. Jodar and E. Defez, “A Connection between Lagurre’s and Hermite’s Matrix Polynomials,” Applied Mathematics Letters, Vol. 11, 1998, pp. 13-17.
|
[6]
|
E. Defez and L. Jódar, “Chebyshev Matrix Polynomails and Second Order Matrix Differential Equations,” Utilitas Mathematics, Vol. 61, 2002, pp. 107-123.
|
[7]
|
E. Defez and L. Jódar, “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
|
[8]
|
J. Sastre and L. Jódar, “Asymptotics of the Modified Bessel and Incomplete Gamma Matrix Functions,” Applied Mathematics Letters, Vol. 16, No. 6, 2003, pp. 815- 820. doi:10.1016/S0893-9659(03)90001-2
|
[9]
|
L. Jódar, R. Company and E. Navarro, “Bessel Matrix Functions: Explict Solution of Coupled Bessel Type Equations,” Utilitas Mathematics, Vol. 46, 1994, pp. 129-141.
|
[10]
|
Z. M. G. Kishka, A. Shehata and M. Abul-Dahab, “On Humbert Matrix Function,” Applied Mathematics Letters, Article in Press.
|
[11]
|
S. Z. Rida, M. Abul-Dahab, M. A. Saleem and M. T. Mohammed, “On Humbert Matrix Function
Ψ1(A,B;C,C';z,w) of Two Complex Variables under Differential Operator,” International Journal of Industrial Mathematics, Vol. 32, 2010, pp. 167-179.
|
[12]
|
N. N. Lebedev, “Special Functions and Their Applications,” Dover Publications Inc., New York, 1972.
|
[13]
|
L.Y. Luke, “The Special Functions and Their Approximations,” Vol. 2, Academic Press, New York, 1969.
|
[14]
|
H. M. Srivastava and P. W. Karlsson, “Multiple Gaussian Hypergeometric Series,” Ellis Horwood, Chichester, 1985.
|
[15]
|
M. S. Metwally, “On p-Kummers Matrix Function of Complex Variable under Differential Operators and Their Properties,” Southeast Asian Bulletin of Mathematics, Vol. 35, 2011, pp. 1-16.
|
[16]
|
A. Shehata, “A Study of Some Special Functions and Polynomials of Complex Variables,” Ph.D. Thesis, Assiut University, Assiut, 2009.
|
[17]
|
L. Jódar 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
|
[18]
|
G. Golub and C. F. Van Loan, “Matrix Computations,” The Johns Hopkins University Press, Baltimore, 1989.
|
[19]
|
L. Jódar 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
|
[20]
|
K. A. M. Sayyed, M. S. Metwally and M. T. Mohamed, “Certain Hypergeometric Matrix Function, ”Scientiae Mathematicae Japonicae, Vol. 69, No. 3, 2009, pp. 315- 321.
|