Multipoint Padé Approximation of the Psi Function

Multipoint Padé Approximation of the Psi Function

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.

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Veröffentlicht in:Mathematical Notes 2021-09, Vol.110 (3-4), p.571-577
1. Verfasser: Sorokin, V. N.
Format: Artikel
Sprache:eng
Schlagworte:
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Mathematics
Mathematics and Statistics
Pade approximation
Rational functions
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Zusammenfassung: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.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434621090273