The generalized Borwein conjecture. II. Refined q-trinomial coefficients

Details The generalized Borwein conjecture. II. Refined q-trinomial coefficients The generalized Borwein conjecture. II. Refined q-trinomial coefficients

2001-10-29

arxiv.org/abs/math/0110307v1

Discrete Mathematics 272 (2003), 215-258

Mathematics

Combinatorics

36 pages, AMS-LaTeX

Scientific paper

10.1016/S0012-365X(03)00047-5

Transformation formulas for four-parameter refinements of the q-trinomial
coefficients are proven. The iterative nature of these transformations allows
for the easy derivation of several infinite series of q-trinomial identities,
and can be applied to prove many instances of Bressoud's generalized Borwein
conjecture.

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