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General Multi-sum Transformations and Some Implications. (arXiv:1901.01988v1 [math.NT])
来源于:arXiv
We give two general transformations that allows certain quite general basic
hypergeometric multi-sums of arbitrary depth (sums that involve an arbitrary
sequence $\{g(k)\}$), to be reduced to an infinite $q$-product times a single
basic hypergeometric sum. Various applications are given, including summation
formulae for some $q$ orthogonal polynomials, and various multi-sums that are
expressible as infinite products. 查看全文>>