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Intertwining operators for Sklyanin algebra and elliptic hypergeometric series
Intertwining operators Sklyanin algebra elliptic hypergeometric series
2011/1/18
Intertwining operators for infinite-dimensional representations of the Sklyanin algebra with spins ℓ and −ℓ − 1 are constructed using the technique of intertwin-ing vectors for...
Intertwining operators for Sklyanin algebra and elliptic hypergeometric series
operators for Sklyanin algebra elliptic hypergeometric series
2010/12/28
Intertwining operators for infinite-dimensional representations of the Sklyanin algebra with spins ℓ and −ℓ − 1 are constructed using the technique of intertwin-ing vectors for...
Nonterminating Basic Hypergeometric Series and the q-Zeilberger Algorithm
basic hypergeometric series q-Zeilberger algorithm Bailey's very-well-poised summation formula Sears-Carlitz transformation Rogers-Fine identity
2014/6/3
We present a systematic method for proving nonterminating basic hypergeometric identities. Assume that k is the summation index. By setting a parameter x to xqn, we may find a recurrence relation of t...
Semi-Finite Forms of Bilateral Basic Hypergeometric Series
\Bilateral hypergeometric summation semi-finite forms Ramanujan's summation Bailey's transformations Bailey's summation
2014/6/3
We show that several classical bilateral summation and transformation formulas have semi-finite forms. We obtain these semi-finite forms from unilateral summation and transformation formulas. Our meth...
Cauchy Augmentation for Basic Hypergeometric Series
Cauchy augmentation Euler identity Cauchy identity Gauss identity basic hypergeometric series Jackson's transformation formula
2014/6/3
We present a technique of deriving basic hypergeometric identities from their specializations with a fewer number of parameters by using the classical Cauchy identity on the expansion of the power of ...
Summation and transformation formulas for elliptic hypergeometric series
Summation transformation formulas elliptic hypergeometric series
2010/10/29
Using matrix inversion and determinant evaluation techniques we prove several summation and transformation formulas for terminating, balanced, very-well-poised, elliptic hypergeometric series.