Karen Snow-Bailey, Ph.D., 1961–2006
نویسندگان
چکیده
منابع مشابه
Lifting Bailey pairs to WP-Bailey pairs
A pair of sequences (αn(a, k, q),βn(a, k, q)) such that α0(a, k, q) = 1 and βn(a, k, q) = n ∑ j=0 (k/a; q)n−j(k; q)n+j (q; q)n−j(aq; q)n+j αj(a, k, q) is termed a WP-Bailey Pair. Upon setting k = 0 in such a pair we obtain a Bailey pair. In the present paper we consider the problem of “lifting” a Bailey pair to a WPBailey pair, and use some of the new WP-Bailey pairs found in this way to derive...
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متن کاملA Bailey Lattice
We exhibit a technique for generating new Bailey pairs which leads to deformations of classical q-series identities, multiple series identities of the Rogers-Ramanujan type, identities involving partial theta functions, and a variety of representations for q-series by number theoretic objects like weight 3/2 modular forms, ternary quadratic forms, and weighted binary quadratic forms.
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ژورنال
عنوان ژورنال: The Journal of Molecular Diagnostics
سال: 2007
ISSN: 1525-1578
DOI: 10.2353/jmoldx.2007.070013