Minor Lee Rogers (1930–1991)

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چکیده

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Hartley Rogers’ 1965 Agenda

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Rogers-Ramanujan computer searches

We describe three computer searches (in PARI/GP, Maple, and Mathematica, respectively) which led to the discovery of a number of identities of Rogers-Ramanujan type and identities of false theta functions.

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The Bivariate Rogers-Szegö Polynomials

We obtain Mehler’s formula and the Rogers formula for the continuous big qHermite polynomials Hn(x; a|q). Instead of working with the polynomials Hn(x; a|q) directly, we consider the equivalent forms in terms of the bivariate Rogers-Szegö polynomials hn(x, y|q) recently introduced by Chen, Fu and Zhang. It turns out that Mehler’s formula for Hn(x; a|q) involves a 3φ2 sum, and the Rogers formula...

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ژورنال

عنوان ژورنال: The Journal of Asian Studies

سال: 1992

ISSN: 0021-9118,1752-0401

DOI: 10.1017/s0021911800041619