11 citations · 19 across the 5 of their papers we have counts for
9 papers
Banded Reduction of Integrals for Hyperexponential and Algebraic Functions
Piotr Krasoń, Jan Milewski
We develop a finite-band method for the reduction of families of indefinite integrals. The starting point is the case in which the logarithmic derivative is a rational…
Linear relations for Lauricella functions and symmetric polynomial
Piotr Krasoń, Jan Milewski
In this paper we develop an algorithm for obtaining some new linear relations among the Lauricella functions. Relations we obtain, generalize those hinted in the work of B. C…
Arithmetic of Heisenberg ring and cyclic group actions
Piotr Krasoń, Jan Milewski
In this paper we compute in some new cases the cardinalities of the fibers of certain natural fibrations that appear in the analysis of the configuration space of the Heisenberg ri…
On eigenproblem for inverted harmonic oscillators
Piotr Krasoń, Jan Milewski
We consider an eigenvalue problem for an inverted one dimensional harmonic oscillator. We find a complete description for the eigenproblem in . The eigenfunc…
New approach to certain real hyper-elliptic integrals
Piotr Krason, Jan Milewski
In this paper we treat certain elliptic and hyper-elliptic integrals in a unified way. We introduce a new basis of these integrals coming from certain basis of polynomials…
Galois actions on the eigenproblem of the Heisenberg heptagon
Jan Milewski, Grzegorz Banaszak, Tadeusz Lulek +2
We analyse the exact solution of the eigenproblem for the Heisenberg Hamiltonian of magnetic heptagon, i.e. the ring of N=7 nodes, each with spin 1/2, within the XXX model with nea…
Internal parity symmetry and degeneracy of Bethe Ansatz strings in the isotropic heptagonal magnetic ring
Jan Milewski, Barbara Lulek, Tadeusz Lulek +2
The exact Bethe eigenfunctions for the heptagonal ring within the isotropic XXX model exhibit a doubly degenerated energy level in the three-deviation sector at the centre of the B…
Mixed Hodge structures and Weierstrass -function
Grzegorz Banaszak, Jan Milewski
A -operator on a complexification $V_{\C}$ of an -vector space is an operator $A \in \rm{End}_{\C} (V_{\C})$ such that where denotes the Weierstra…
Hodge structures and Weierstrass -function
Grzegorz Banaszak, Jan Milewski
In this paper we introduce new definition of Hodge structures and show that -Hodge structures are determined by -linear operators that are annihilated by the Weierstrass $σ…