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

S. Ole Warnaar

math.COarXiv:math/0110307

Abstract

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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