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

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[1] Boelen L, Filipuk G, and Van Assche W, Recurrence coefficients of generalized Meixner polynomials and Painlev e equations, J. Phys. A: Math. Theor. 44 (2011) 035202. Google Scholar

[2] Bonan S and Clark D S, Estimates of the orthogonal polynomials with weight $exp(-x^m)$, $m$ an even positive integer, J. Approx. Theory 46 (1986), 408–410. Google Scholar

[3] Chen Y and Ismail M, Jacobi polynomials from compatibility conditions, Proc. Am. Math. Soc. 133 (2005), 465–472. Google Scholar

[4] Chihara T S, An introduction to orthogonal polynomials, Gordon and Breach, New york 1978. Google Scholar

[5] Filipuk G, Van Assche W, and Zhang L, The recurrence coefficients of semi- classical Laguerre polynomials and the fourth Painlev e equation, J. Phys. A: Math. Theor. 45 (2012) 205201. Google Scholar

[6] Shohat J, A differential equation for orthogonal polynomials, Duke Math. J. 5 (1939), 401–417. Google Scholar