The recurrence coefficients of the orthogonal polynomials with the weights $w_\alpha(x)= x^\alpha \exp(-x^3+tx)$ and $W_\alpha(x)=|x|^{2\alpha+1} \exp(-x^6+tx^2)$

DOI10.11568/KJM.2017.25.2.181zbMath1462.42046OpenAlexW2730122515MaRDI QIDQ5208531

Haewon Joung

Publication date: 8 January 2020

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/view/526

zbMATH Keywords

orthogonal polynomialsladder operatorsrecurrence coefficients

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Additive difference equations (39A10) Other special orthogonal polynomials and functions (33C47)

Cites Work

• Unnamed Item
• Estimates of the orthogonal polynomials with weight \(\exp (-x^ m)\), m an even positive integer
• A differential equation for orthogonal polynomials
• The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation
• Recurrence coefficients of generalized Meixner polynomials and Painlevé equations
• Jacobi polynomials from compatibility conditions

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