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Lifting Bailey Pairs To Wp-Bailey Pairs, James Mclaughlin, Andrew Sills, Peter Zimmer
Lifting Bailey Pairs To Wp-Bailey Pairs, James Mclaughlin, Andrew Sills, Peter Zimmer
Department of Mathematical Sciences Faculty Publications
A pair of sequences (αn(a,k,q),βn(a,k,q)) such that α0(a,k,q)=1 and βn(a,k,q)=∑nj=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 WP-Bailey pair, and use some …
Rogers-Ramanujan Computer Searches, James Mclaughlin, Andrew Sills, Peter Zimmer
Rogers-Ramanujan Computer Searches, James Mclaughlin, Andrew Sills, Peter Zimmer
Department of Mathematical Sciences Faculty Publications
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.