Voir la notice de l'article provenant de la source Math-Net.Ru
@article{TRSPY_2015_290_a21, author = {V. I. Buslaev and S. P. Suetin}, title = {On equilibrium problems related to the distribution of zeros of the {Hermite--Pad\'e} polynomials}, journal = {Informatics and Automation}, pages = {272--279}, publisher = {mathdoc}, volume = {290}, year = {2015}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/TRSPY_2015_290_a21/} }
TY - JOUR AU - V. I. Buslaev AU - S. P. Suetin TI - On equilibrium problems related to the distribution of zeros of the Hermite--Pad\'e polynomials JO - Informatics and Automation PY - 2015 SP - 272 EP - 279 VL - 290 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TRSPY_2015_290_a21/ LA - ru ID - TRSPY_2015_290_a21 ER -
%0 Journal Article %A V. I. Buslaev %A S. P. Suetin %T On equilibrium problems related to the distribution of zeros of the Hermite--Pad\'e polynomials %J Informatics and Automation %D 2015 %P 272-279 %V 290 %I mathdoc %U http://geodesic.mathdoc.fr/item/TRSPY_2015_290_a21/ %G ru %F TRSPY_2015_290_a21
V. I. Buslaev; S. P. Suetin. On equilibrium problems related to the distribution of zeros of the Hermite--Pad\'e polynomials. Informatics and Automation, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 272-279. http://geodesic.mathdoc.fr/item/TRSPY_2015_290_a21/
[1] Aptekarev A.I., Tulyakov D.N., “Glavnyi chlen asimptotiki Plansherelya–Rotakha dlya reshenii rekurrentnykh sootnoshenii”, Mat. sb., 205:12 (2014), 17–40 | DOI | MR | Zbl
[2] Buslaev V.I., “O skhodimosti mnogotochechnykh approksimatsii Pade kusochno analiticheskikh funktsii”, Mat. sb., 204:2 (2013), 39–72 | DOI | MR | Zbl
[3] Buslaev V.I., Martines-Finkelshtein A., Suetin S.P., “Metod vnutrennikh variatsii i suschestvovanie $S$-kompaktov”, Tr. MIAN, 279 (2012), 31–58 | MR | Zbl
[4] Buslaev V.I., Suetin S.P., “O suschestvovanii kompaktov minimalnoi emkosti v zadachakh ratsionalnoi approksimatsii mnogoznachnykh analiticheskikh funktsii”, UMN, 69:1 (2014), 169–170 | DOI | MR | Zbl
[5] Buslaev V.I., Suetin S.P., On the existence of compacta of minimal capacity in the problems of rational approximation of multi-valued analytic functions, E-print, 2015, arXiv: 1505.06120 [math.CV]
[6] Delvo S., Lopes A., Lopes Lagomasino G., “Ob odnom semeistve sistem Nikishina s periodicheskimi rekurrentnymi koeffitsientami”, Mat. sb., 204:1 (2013), 47–78 | DOI | MR
[7] Gonchar A.A., “Ratsionalnye approksimatsii analiticheskikh funktsii”, Sovr. probl. matematiki, 1 (2003), 83–106 | DOI | MR
[8] Gonchar A.A., Rakhmanov E.A., “O skhodimosti sovmestnykh approksimatsii Pade dlya sistem funktsii markovskogo tipa”, Tr. MIAN SSSR, 157 (1981), 31–48 | MR | Zbl
[9] Gonchar A.A., Rakhmanov E.A., “Ravnovesnaya mera i raspredelenie nulei ekstremalnykh mnogochlenov”, Mat. sb., 125:1 (1984), 117–127 | MR
[10] Gonchar A.A., Rakhmanov E.A., “O zadache ravnovesiya dlya vektornykh potentsialov”, UMN, 40:4 (1985), 155–156 | MR | Zbl
[11] Gonchar A.A., Rakhmanov E.A., “Ravnovesnye raspredeleniya i skorost ratsionalnoi approksimatsii analiticheskikh funktsii”, Mat. sb., 134:3 (1987), 306–352 | MR | Zbl
[12] Gonchar A.A., Rakhmanov E.A., Suetin S.P., “Approksimatsii Pade–Chebyshëva dlya mnogoznachnykh analiticheskikh funktsii, variatsiya ravnovesnoi energii i $S$-svoistvo statsionarnykh kompaktov”, UMN, 66:6 (2011), 3–36 | DOI | MR | Zbl
[13] Ikonomov N.R., Kovacheva R.K., Suetin S.P., Some numerical results on the behavior of zeros of the Hermite–Padé polynomials, E-print, 2015
[14] Komlov A.V., Suetin S.P., “Asimptoticheskaya formula dlya polinomov, ortonormirovannykh otnositelno peremennogo vesa. II”, Mat. sb., 205:9 (2014), 121–144 | DOI | MR | Zbl
[15] Landkof N.S., Osnovy sovremennoi teorii potentsiala, Nauka, M., 1966 | MR
[16] Martines-Finkelshtein A., Rakhmanov E.A., Suetin S.P., “Variatsiya ravnovesnoi energii i $S$-svoistvo statsionarnogo kompakta”, Mat. sb., 202:12 (2011), 113–136 | DOI | MR
[17] Nikishin E.M., “Ob asimptotike lineinykh form dlya sovmestnykh approksimatsii Pade”, Izv. vuzov. Matematika, 1986, no. 2, 33–41 | MR | Zbl
[18] Rakhmanov E.A., “Orthogonal polynomials and $S$-curves”, Recent advances in orthogonal polynomials, special functions, and their applications, Contemp. Math., 578, Amer. Math. Soc., Providence, RI, 2012, 195–239 | DOI | MR | Zbl
[19] Rakhmanov E.A., Suetin S.P., “Asimptotika polinomov Ermita–Pade I roda dlya pary funktsii, obrazuyuschikh sistemu Nikishina”, UMN, 67:5 (2012), 177–178 | DOI | MR | Zbl
[20] Rakhmanov E.A., Suetin S.P., “Raspredelenie nulei polinomov Ermita–Pade dlya pary funktsii, obrazuyuschei sistemu Nikishina”, Mat. sb., 204:9 (2013), 115–160 | DOI | MR | Zbl
[21] Saff E.B., Totik V., Logarithmic potentials with external fields, Grundl. Math. Wiss., 316, Springer, Berlin, 1997 | MR | Zbl
[22] Stahl H., “Asymptotics of Hermite–Padé polynomials and related convergence results: A summary of results”, Nonlinear numerical methods and rational approximation, Math. Appl., 43, D. Reidel, Dordrecht, 1988, 23–53 | MR | Zbl
[23] Stahl H., “The convergence of Padé approximants to functions with branch points”, J. Approx. Theory, 91:2 (1997), 139–204 | DOI | MR | Zbl