Geodesic
Multipoint Pad\'e Approximation of the Psi Function
Matematičeskie zametki, Tome 110 (2021) no. 4, pp. 584-591

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The Newton interpretation of the psi function by rational functions with free poles is studied. A discrete formula for the Rodrigues determinants is obtained and the limit distribution of their zeros is found. The corresponding equilibrium problem of the theory of logarithmic potential is obtained.
Keywords: saddle-point method, equilibrium problem. 
@article{MZM_2021_110_4_a8,
     author = {V. N. Sorokin},
     title = {Multipoint {Pad\'e} {Approximation} of the {Psi} {Function}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {584--591},
     publisher = {mathdoc},
     volume = {110},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2021_110_4_a8/}
}
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V. N. Sorokin. Multipoint Pad\'e Approximation of the Psi Function. Matematičeskie zametki, Tome 110 (2021) no. 4, pp. 584-591. http://geodesic.mathdoc.fr/item/MZM_2021_110_4_a8/