Geodesic
On asymptotic properties of polynomials orthogonal on the real axis
Sbornik. Mathematics, Tome 47 (1984) no. 1, pp. 155-193 
E. A. Rakhmanov. On asymptotic properties of polynomials orthogonal on the real axis. Sbornik. Mathematics, Tome 47 (1984) no. 1, pp. 155-193. http://geodesic.mathdoc.fr/item/SM_1984_47_1_a9/
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     author = {E. A. Rakhmanov},
     title = {On asymptotic properties of polynomials orthogonal on the real axis},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1984_47_1_a9/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

This paper contains a number of results on the logarithmic asymptotics and the asymptotic distribution of zeros of polynomials that are orthonormal on the real axis $\mathbf R=(-\infty,+\infty)$ or semiaxis $\mathbf R_+=[0,+\infty)$ with respect to weight functions of the type $\exp(-|x|^{\lambda})$. Bibliography: 10 titles.

[1] Sege G., Ortogonalnye mnogochleny, Fizmatgiz, M., 1962

[2] Suetin P. K., Klassicheskie ortogonalnye mnogochleny, Nauka, M., 1979 | MR | Zbl

[3] Dzhrbashyan M. M., “Predstavlenie i zamknutost nekotorykh ortogonalnykh sistem”, Izv. AN Arm. SSR, 14:6 (1979), 446–493 | MR

[4] Dzhrbashyan M. M., “Nekotorye voprosy teorii vzveshenno-polinomialnykh priblizhenii v kompleksnoi oblasti”, Matem. sb., 36(78) (1955), 353–440 | Zbl

[5] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii. Gipergeometricheskaya funktsiya. Funktsiya Lezhandra, Nauka, M., 1965

[6] Landkof N. S., Osnovy sovremennoi teorii potentsiala, Nauka, M., 1966 | MR | Zbl

[7] Integralnye uravneniya (Spravochnaya matematicheskaya biblioteka), Nauka, M., 1968 | MR

[8] Bitsadze A. V., Uravneniya matematicheskoi fiziki, Nauka, M., 1976 | MR

[9] Gonchar A. A., Rakhmanov E. A., “O skhodimosti sovmestnykh approksimatsii Pade dlya sistem funktsii Markovskogo tipa”, Trudy Matem. in-ta im. V. A. Steklova AN SSSR, 157 (1981), 31–48 | MR | Zbl

[10] Rakhmanov E. A., “Ob asimptoticheskikh svoistvakh mnogochlenov, ortogonalnykh na veschestvennoi osi”, DAN SSSR, 261:2 (1981), 282–284 | MR | Zbl