On the Rogers-Szego polynomials

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Published under licence by IOP Publishing Ltd
, , Citation N M Atakishiyev and Sh M Nagiyev 1994 J. Phys. A: Math. Gen. 27 L611 DOI 10.1088/0305-4470/27/17/003

0305-4470/27/17/L611

Abstract

An orthogonality relation on the full real line for the Rogers-Szego polynomials is discussed. It is argued that Fourier transformation with the standard exponential kernel exp(ixy) relates the Rogers-Szego and Stieltjes-Wigert functions.

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10.1088/0305-4470/27/17/003