caa a22 4500 463178173 CHVBK 20180406164831.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s11139-006-0253-1 doi (NATIONALLICENCE)springer-10.1007/s11139-006-0253-1 Elliptic grids, rational functions, and the Padé interpolation [Elektronische Daten] [V. Spiridonov, A. Zhedanov] We consider rational functions with n prescribed poles for which there exists a divided difference operator transforming them to rational functions with n−1 poles. The poles of such functions are shown to lie on the elliptic grids. There is a one-to-one correspondence between this problem of admissible grids and the Poncelet problem on two quadrics. Additionally, we outline an explicit scheme of the Padé interpolation with prescribed poles and zeros on the elliptic grids. Springer Science + Business Media, LLC, 2006 Divided difference operators nationallicence Elliptic functions nationallicence Poncele porism nationallicence Padé interpolation nationallicence Spiridonov V. Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, reg. 141980, Moscow, Russia aut Zhedanov A. Donetsk Institute for Physics and Technology, 340114, Donetsk, Ukraine aut The Ramanujan Journal Kluwer Academic Publishers 13/1-3(2007-06-01), 285-310 1382-4090 13:1-3<285 2007 13 11139 https://doi.org/10.1007/s11139-006-0253-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11139-006-0253-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Spiridonov V. Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, reg. 141980, Moscow, Russia aut NATIONALLICENCE 700 1- Zhedanov A. Donetsk Institute for Physics and Technology, 340114, Donetsk, Ukraine aut NATIONALLICENCE 773 0- The Ramanujan Journal Kluwer Academic Publishers 13/1-3(2007-06-01), 285-310 1382-4090 13:1-3<285 2007 13 11139 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer