Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee
Copyright policy )Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee
We show how Bailey pairs can be used to give a simple proof of an identity of Chern, Li, Stanton, Xue, and Yee. The same method yields a number of related identities as well as false theta companions.
- French National Centre for Scientific Research France
- Université Paris Cité France
- University of Denver United States
Chemical graph theory, Distance in graphs, \(q\)-series identities, Random graphs (graph-theoretic aspects), 33D15, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), Enumeration in graph theory, false theta functions, Graphical indices (Wiener index, Zagreb index, Randić index, etc.), Basic hypergeometric functions in one variable, \({}_r\phi_s\), Binomial coefficients; factorials; \(q\)-identities, Mathematics - Classical Analysis and ODEs, \(q\)-calculus and related topics, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Bailey pairs, Mathematics - Combinatorics, Combinatorics (math.CO), Paths and cycles
Chemical graph theory, Distance in graphs, \(q\)-series identities, Random graphs (graph-theoretic aspects), 33D15, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), Enumeration in graph theory, false theta functions, Graphical indices (Wiener index, Zagreb index, Randić index, etc.), Basic hypergeometric functions in one variable, \({}_r\phi_s\), Binomial coefficients; factorials; \(q\)-identities, Mathematics - Classical Analysis and ODEs, \(q\)-calculus and related topics, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Bailey pairs, Mathematics - Combinatorics, Combinatorics (math.CO), Paths and cycles
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