Shiraishi functor and non-Kerov deformation of Macdonald polynomials
Shiraishi functor and non-Kerov deformation of Macdonald polynomials
We suggest a further generalization of the hypergeometric-like series due to M. Noumi and J. Shiraishi by substituting the Pochhammer symbol with a nearly arbitrary function. Moreover, this generalization is valid for the entire Shiraishi series, not only for its Noumi-Shiraishi part. The theta function needed in the recently suggested …