Barry, Paul

The restricted Toda chain, exponential Riordan arrays, and Hankel transforms

J. Integer Seq. 13(8), Article ID 10.8.4, 19 p., electronic only (2010)

Summary

Summary: We re-interpret results on the classification of Toda chain solutions given by Sheffer class orthogonal polynomials in terms of exponential Riordan arrays. We also examine associated Hankel transforms.

Mathematics Subject Classification

42C05, 11B83, 11C20, 15B05, 15B36, 33C45

Keywords/Phrases

Toda chain, orthogonal polynomials, moments, Hermite polynomial, charlier polynomial, meixner polynomial, riordan array, Hankel determinant, Hankel transform

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