Unique special solution for discrete Painlevé II. (English) Zbl 1540.39019
Reviewer: Ioannis P. Stavroulakis (Ioannina)
Found 28 Documents (Results 1–28)
Dynamics of nonpolar solutions to the discrete Painlevé I equation. (English) Zbl 1506.39013
Reviewer: Yousuke Ohyama (Tokushima)
On the computation of recurrence coefficients for univariate orthogonal polynomials. (English) Zbl 1481.65041
Orthogonal and multiple orthogonal polynomials, random matrices, and Painlevé equations. (English) Zbl 1443.33028
Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 629-683 (2020).
Properties of certain classes of semiclassical orthogonal polynomials. (English) Zbl 1443.33018
Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 457-477 (2020).
Properties of generalized Freud polynomials. (English) Zbl 1437.33011
Reviewer: Chrysoula G. Kokologiannaki (Patras)
On polynomials associated with an Uvarov modification of a quartic potential Freud-like weight. (English) Zbl 1410.33024
Unique positive solution for an alternative discrete Painlevé I equation. (English) Zbl 1355.39005
Reviewer: Ti-Jun Xiao (Fudan)
A family of nonlinear difference equations: existence, uniqueness, and asymptotic behavior of positive solutions. (English) Zbl 1314.39017
\(q\)-analogues of Freud weights and nonlinear difference equations. (English) Zbl 1211.39007
Reviewer: Andrei A. Kapaev (Trieste)
\(q\)-discrete Painlevé equations for recurrence coefficients of modified \(q\)-Freud orthogonal polynomials. (English) Zbl 1189.39009
Reviewer: Jacques Sauloy (Toulouse)
Formulas for recurrence coefficients of orthogonal polynomials related to Lorentzian-like weights. (English) Zbl 1214.42047
MSC:
42C05
Freud equations for Legendre polynomials on a circular arc and solution of the Grünbaum-Delsarte-Janssen-Vries problem. (English) Zbl 1100.42021
Reviewer: Renato Alvarez-Nodarse (Sevilla)
On asymptotic properties of Freud–Sobolev orthogonal polynomials. (English) Zbl 1043.33005
Reviewer: N. M. Temme (Amsterdam)
On the nonnegative solution of a Freud three-term recurrence. (English) Zbl 0955.42013
Reviewer: H.-J.Glaeske (Jena)
A uniform asymptotic formula for orthogonal polynomials associated with \(\exp(-x^4)\). (English) Zbl 0952.41018
Reviewer: J.Illán González (Vigo)
Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials. (English) Zbl 0828.42012
Reviewer: M.G.de Bruin (Delft)
Current trends in asymptotics: Some problems and some solutions. (English) Zbl 0724.41030
MSC:
41A60
On solutions of some nonlinear recurrences. (English) Zbl 0618.03019
Reviewer: V.Burjan
Plancherel-Rotach-type asymptotics for orthogonal polynomials associated with \(\exp (-x^ 6/6)\). (English) Zbl 0617.42017
Reviewer: G.López Lagomasino
MSC:
42C05
On Freud’s equations for exponential weights. (English) Zbl 0619.42015
Reviewer: L.Gatteschi
Géza Freud, orthogonal polynomials and Christoffel functions. A case study. (English) Zbl 0606.42020
Reviewer: M.G.de Bruin
On Nevai’s bound for orthogonal polynomials associated with exponential weights. (English) Zbl 0605.42020
Reviewer: C.F.Dunkl
Exact bounds for orthogonal polynomials associated with exponential weights. (English) Zbl 0605.42019
Reviewer: C.F.Dunkl
Orthogonal polynomials and their derivatives. I. (English) Zbl 0533.42015
Reviewer: Y.Sitaraman
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