1 |
P. Desrosiers and P. J. Forrester, A note on biorthogonal ensembles, J. Approx. Theory 152 (2008), no. 2, 167-187.
DOI
ScienceOn
|
2 |
M. E. H. Ismail, Classical and Quantum Orthogonal Polynomials in One Variable, in Encyclopedia of Mathematics and its Applications, vol. 98, Cambridge University Press, 2005.
|
3 |
D. W. Lee, Properties of multiple Hermite and multiple Laguerre polynomials by the generating function, Integral Transforms Spec. Funct. 18 (2007), no. 11-12, 855-869.
DOI
ScienceOn
|
4 |
D. W. Lee, Generating functions and multiple orthogonal polynomials, In 5th Asian Mathematical Conference Proceedings, Vol. II, (Yahya Abu Hasan et al., ed.), 44-51, 2009.
|
5 |
V. Lysov and F. Wielonsky, Strong asymptotics for multiple Laguerre polynomials, Constr. Approx. 28 (2008), no. 1, 61-111.
DOI
|
6 |
E. M. Nikishin and V. N. Sorokin, Rational Approximations and Orthogonality, Translations of Mathematical Monographs, 92. American Mathematical Society, Providence, RI, 1991.
|
7 |
E. D. Rainville, Special Functions, Chelsea Publishing Company, New York, 1960.
|
8 |
G. Szego, Orthogonal Polynomials, Amer. Math. Soc. Coll. Publ. vol 23., 4th ed., Amer. Math. Soc., Providence, RI, 1975.
|
9 |
W. Van Assche, Multiple orthogonal polynomials, irrationality and transcendence, Continued fractions: from analytic number theory to constructive approximation (Columbia, MO, 1998), 325-342, Contemp. Math., 236, Amer. Math. Soc., Providence, RI, 1999.
|
10 |
P. Desrosiers and P. J. Forrester, Asymptotic correlations for Gaussian and Wishart matrices with external source, Int. Math. Res. Not. (2006), Art. ID 27395, 43p.
|
11 |
W. Van Assche, Nearest neighbor recurrence relations for multiple orthogonal polynomials, J. Approx. Theory 163 (2011), no. 10, 1427-1448.
DOI
ScienceOn
|
12 |
W. Van Assche and E. Coussement, Some classical multiple orthogonal polynomials, J. Comput. Appl. Math. 127 (2001), no. 1-2, 317-347.
DOI
ScienceOn
|
13 |
A. Angelesco, Sur l'approximation simultanee de plusieurs integrales definies, C. R. Paris, 167 (1918), 629-631.
|
14 |
A. I. Aptekarev, Multiple orthogonal polynomials, J. Comput. Appl. Math. 99 (1998), no. 1-2, 423-447.
DOI
ScienceOn
|
15 |
A. I. Aptekarev, A. Branquinho, and W. Van Assche, Multiple orthogonal polynomials for classical weights, Trans. Amer. Math. Soc. 355 (2003), no. 10, 3887-3914.
DOI
ScienceOn
|
16 |
A. I. Aptekarev, V. Kalyagin, G. Lopez Lagomasino, and I. A. Rocha, On the limit behavior of recurrence coefficients for multiple orthogonal polynomials, J. Approx. Theory 139 (2006), no. 1-2, 346-370.
DOI
ScienceOn
|
17 |
B. Beckermann, J. Coussement, andW. Van Assche, Multiple Wilson and Jacobi-Pineiro polynomials, J. Approx. Theory 132 (2005), no. 2, 155-181.
DOI
ScienceOn
|
18 |
P. M. Bleher and A. B. J. Kuijlaars, Large n limit of Gaussian random matrices with external source. I, Comm. Math. Phys. 252 (2004), no. 1-3, 43-76.
DOI
|
19 |
P. M. Bleher and A. B. J. Kuijlaars, Integral representations for multiple Hermite and multiple Laguerre polynomials, Ann. Inst. Fourier (Grenoble) 55 (2005), no. 6, 2001-2014.
DOI
ScienceOn
|
20 |
T. S. Chihara, An Introduction to Orthogonal Polynomials, Gordon and Breach, 1978.
|
21 |
P. Desrosiers, Duality in random matrix ensembles for all , Nuclear Phys. B 817 (2009), no. 3, 224-251.
DOI
ScienceOn
|