Affiliation: KIAS, Korea
Email: sykang@kias.re.kr
Title Of Talk: The continuous symmetric Hahn polynomials found in Ramanujan's lost notebook
Abstract: Askey and Wilson found $_3F_2$ Hahn polynomials which are orthogonal with respect to a positive absolutely continuous weight function. More than a half century earlier, Ramanujan recorded the Stieltjes transform of this weight function in terms of a continued fraction in his lost notebook. We provide two different proofs for this integration. One applies theories of the Hamburger moment problem. The other uses elementary integration techniques and a couple of transformation formulas for hypergeometric functions.
Last update made Thu Nov 11 14:46:36 EST 2004.
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