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Orthogonal polynomials for the weight $x^{\nu} \exp(-x - t/x),\ x, t > 0, \nu\in \mathbb{R}$ are investigated. Differential-difference equations, recurrencerelations, explicit representations, generating functions and Rodrigues-typeformula are obtained.

Orthogonal polynomials for the weight $x^{\nu} \exp(-x - t/x)$