233 citations · 2.4k across the 47 of their papers we have counts for
38 papers · 1 filter
Elliptic lift of the Shiraishi function as a non-stationary double-elliptic function
H. Awata, H. Kanno, A. Mironov +1
As a development of arXiv:1912.12897, we note that the ordinary Shiraishi functions have an insufficient number of parameters to describe generic eigenfunctions of double elliptic…
Shiraishi functor and non-Kerov deformation of Macdonald polynomials
H. Awata, H. Kanno, A. Mironov +1
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. Moreo…
On complete solution of the quantum Dell system
H. Awata, H. Kanno, A. Mironov +1
The mother functions for the eigenfunctions of the Koroteev-Shakirov version of quantum double-elliptic (Dell) Hamiltonians can be presented as infinite series in Miwa variables, v…
Can tangle calculus be applicable to hyperpolynomials?
H. Awata, H. Kanno, A. Mironov +1
We make a new attempt at the recently suggested program to express knot polynomials through topological vertices, which can be considered as a possible approach to the tangle calcu…
The MacMahon R-matrix
H. Awata, H. Kanno, A. Mironov +3
We introduce an -matrix acting on the tensor product of MacMahon representations of Ding-Iohara-Miki (DIM) algebra . This -matri…
A non-torus link from topological vertex
H. Awata, H. Kanno, A. Mironov +2
The recently suggested tangle calculus for knot polynomials is intimately related to topological string considerations and can help to build the HOMFLY-PT invariants from the topol…