On laguerre matrix polynomials

Utilitas Mathematica

Volumn 53, Issue , 1998, Pages 37-48

  Jódar, Lucas ^a   Sastre, Jorge ^a  

^a UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032222107     PISSN: 03153681     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. N. Dunford and J. Schwartz, Linear Operators, part I, Interscience, New York, 1955.
2. G. Golub and C.F. Van Loan, Matrix Computations, Johns Hopkins Univ. Press, Baltimore, MA. 1989.
3. C.S. Herz, Bessel Functions of Matrix Argument, Ann. of Math. 61 (1955), 474-523.
4. E. Hille, Lectures on Ordinary Differential Equations, Addison-Wesley, New York.
5. A.T. James, Special Functions of Matrix and Single Argument in Statistics, in Theory and Applications of Special Functions, R.A. Askey Ed. Academic Press, 1975, pp. 497-520.
6. L. Jódar, M. Legua and A.G. Law, A matrix method of Frobenius and applications to generalized Bessel equation, Congressus Numerantium 86 (1992), 7-17.
7. L. Jódar, R. Company and E. Navarro, Bessel matrix functions: explicit solution of coupled Bessel type equations, Utilitas Mathematica 46 (1994), 129-141.
8. L. Jödar, R. Company and E. Navarro, Laguerre matrix polynomials and systems of second order differential equations, Applied Numer. Math. 15 (1994), 53-63.
9. L. Jódar, R. Company and E. Ponsoda, Orthogonal matrix polynomials and systems of second order differential equations, Diff. Equations and Dynamic Syst. 3No.3 (1995), 269-288.
10. L. Jódar, E. Defez and E. Ponsoda, Matrix quadrature integration and orthogonal matrix polynomials, Congressus Numerantium 106 (1995), 141-153.
11. L. Jódar and R. Company, Hermite matrix polynomials and second order matrix differential equations, Approximation Theory Appl. 12No.2 (1996), 20-30.
12. C.G. Khatri, On the exact finite series distribution of the smallest or the largest root of matrices in three situations, J. Multivariate Anal. 2 (1972), 201-207.
13. N.N. Lebedev, Specia/ Functions and Their Applications, Dover, New York, 1972.
14. W. Miller, Lie Theory and Special Functions, Academic Press, New York, 1968.
15. E.D. Rainville, Special Functions, Chelsea, New York, 1960.
16. W. Rudin, Principles of Mathematical Analysis, McGraw-Hill, New York, 1953.
17. S. Saks and A. Zygmund, Analytic Functions, Elsevier, Amsterdam, 1971.