Geodesic
Recurrence Legendre polynomials
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2022), pp. 3-8

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The recurrence polynomials partly orthogonal with respect to Lebesgue measure on the segment symmetric with respect to the unit circle are studied. The limiting distribution of its zeros is obtained in terms of a meromorphic function on compact Riemann surface. The interpretation of the limiting measure is obtained in terms of equilibrium problems in the logarithmic potential theory. 
@article{VMUMM_2022_6_a0,
     author = {V. N. Sorokin},
     title = {Recurrence {Legendre} polynomials},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {3--8},
     publisher = {mathdoc},
     number = {6},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2022_6_a0/}
}
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V. N. Sorokin. Recurrence Legendre polynomials. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2022), pp. 3-8. http://geodesic.mathdoc.fr/item/VMUMM_2022_6_a0/