6 papers
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…
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…