Particle seas and basic hypergeometric series
2003; Elsevier BV; Volume: 31; Issue: 1 Linguagem: Inglês
10.1016/s0196-8858(03)00011-3
ISSN1090-2074
Autores Tópico(s)Mathematical functions and polynomials
ResumoParticle seas were introduced by Claude Itzykson to give a direct combinatorial proof of the Jacobi triple product [Viennot, Empilements, 1999]. We show here how generalized particle seas can be employed to give bijective proofs of several identities in the theory of basic hypergeometric series. We give details for the 1 ψ 1 summation and two limiting cases of the 6 ψ 5 summation.
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