Elliptic hypergeometric series on root systems
Copyright policy )Elliptic hypergeometric series on root systems
We derive a number of summation and transformation formulas for elliptic hypergeometric series on the root systems A_n, C_n and D_n. In the special cases of classical and q-series, our approach leads to new elementary proofs of the corresponding identities.
27 pages
- Chalmers University of Technology Sweden
- University of Gothenburg Sweden
Mathematics(all), Multivariable Bailey transformation, 33D67, 33D67; 11F50, Elliptic hypergeometric series, 11F50, Jackson summation, hypergeometric series on root systems, Multivariable Jackson summation, Mathematics - Classical Analysis and ODEs, Bailey transforms, Hypergeometric series on root systems, Mathematics - Quantum Algebra, Jacobi forms, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Quantum Algebra (math.QA), elliptic hypergeometric series, Basic hypergeometric functions associated with root systems
Mathematics(all), Multivariable Bailey transformation, 33D67, 33D67; 11F50, Elliptic hypergeometric series, 11F50, Jackson summation, hypergeometric series on root systems, Multivariable Jackson summation, Mathematics - Classical Analysis and ODEs, Bailey transforms, Hypergeometric series on root systems, Mathematics - Quantum Algebra, Jacobi forms, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Quantum Algebra (math.QA), elliptic hypergeometric series, Basic hypergeometric functions associated with root systems
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