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Rahman's biorthogonal functions and superconformal indices

Hjalmar Rosengren (Institutionen för matematiska vetenskaper, matematik)
(2016)
[Preprint]

We study biorthogonal functions related to basic hypergeometric integrals with coupled continuous and discrete components. Such integrals appear as superconformal indices for three-dimensional quantum field theories and also in the context of solvable lattice models. We obtain explicit biorthogonal systems given by products of two of Rahman's biorthogonal rational 10W9-functions or their degenerate cases. We also give new bilateral extensions of the Jackson and q-Saalschutz summation formulas and new continuous and discrete biorthogonality measures for Rahman's functions.



Denna post skapades 2016-12-16.
CPL Pubid: 246168

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematisk analys
Matematisk fysik

Chalmers infrastruktur