Asymptotics of Jacobi--Pi\~neiro Polynomials and Functions of the Second Kind
Matematičeskie zametki, Tome 103 (2018) no. 3, pp. 471-474.

Voir la notice de l'article provenant de la source Math-Net.Ru

Mots-clés : Jacobi–Piñeiro multiple orthogonal polynomials
Keywords: Nikishin system, integral representation, generalized hypergeometric function, strong asymptotics.
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V. G. Lysov. Asymptotics of Jacobi--Pi\~neiro Polynomials and Functions of the Second Kind. Matematičeskie zametki, Tome 103 (2018) no. 3, pp. 471-474. http://geodesic.mathdoc.fr/item/MZM_2018_103_3_a11/

[1] E. M. Nikishin, V. N. Sorokin, Ratsionalnye approksimatsii i ortogonalnost, Nauka, M., 1988 | MR | Zbl

[2] L. R. Pineiro Dias, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 2 (1987), 67–70 | MR | Zbl

[3] W. Van Assche, Proc. Amer. Math. Soc., 145:1 (2017), 303–314 | MR | Zbl

[4] A. I. Aptekarev, A. Branquinho, W. Van Assche, Trans. Amer. Math. Soc., 355:10 (2003), 3887–3914 | DOI | MR | Zbl

[5] M. Adler, P. van Moerbeke, D. Wang, Random Matrices Theory Appl., 2:4 (2013), 1–72 | DOI | MR | Zbl

[6] A. A. Gonchar, E. A. Rakhmanov, V. N. Sorokin, Matem. sb., 188:5 (1997), 33–58 | DOI | MR | Zbl

[7] A. I. Aptekarev, Matem. sb., 190:5 (1999), 3–44 | DOI | MR | Zbl

[8] A. I. Aptekarev, V. G. Lysov, Matem. sb., 201:2 (2010), 29–78 | DOI | MR | Zbl

[9] A. I. Aptekarev, G. Lopes Lagomasino, I. A. Rocha, Matem. sb., 196:8 (2005), 3–20 | DOI | MR | Zbl

[10] V. G. Lysov, Matem. sb., 196:12 (2005), 99–122 | DOI | MR | Zbl

[11] A. V. Komlov, R. V. Palvelev, S. P. Suetin, E. M. Chirka, UMN, 72:4 (436) (2017), 95–130 | DOI | MR

[12] A. I. Aptekarev, D. N. Tulyakov, M. L. Yattselev, Matem. zametki, 98:5 (2015), 782–785 | DOI | MR | Zbl

[13] A. I. Aptekarev, V. G. Lysov, D. N. Tulyakov, Matem. sb., 202:2 (2011), 3–56 | DOI | MR | Zbl

[14] T. Neuschel, W. Van Assche, J. Approx. Theory, 205 (2016), 114–132 | DOI | MR | Zbl

[15] A. I. Bogolyubskii, Matem. zametki, 99:6 (2016), 937–940 | DOI | MR | Zbl

[16] A. I. Aptekarev, G. Lopes Lagomasino, A. Martines-Finkelshtein, UMN, 72:3 (435) (2017), 3–64 | DOI | MR | Zbl