19 citations · 113 across the 18 of their papers we have counts for
4 papers · 1 filter
Fock space associated with quadrabasic Hermite orthogonal polynomials
Wiktor Ejsmont
This paper introduces a new idea for constructing operators associated with a certain class of probability measures. Special cases include several know classical and noncommutative…
The Free Tangent Law
Wiktor Ejsmont, Franz Lehner
Nevanlinna-Herglotz functions play a fundamental role for the study of infinitely divisible distributions in free probability. In the present paper we study the role of the tangent…
The Trace Method for Cotangent Sums
Wiktor Ejsmont, Franz Lehner
This paper presents a combinatorial study of sums of integer powers of the cotangent which is a popular theme in classical calculus. Our main tool the realization of cotangent valu…
Sums of Commutators in Free Probability
Wiktor Ejsmont, Franz Lehner
We study the linear span of commutators of free random variables and show that these are the only quadratic forms which satisfy the following equivalent properties: * preservation…