We consider univariate distributions with finite moments of all positive orders. The moment
problem is to determine whether or not a given distribution is uniquely determined by the …

The concept of subordination, originally introduced in the probability and stochastic
processes theories, has also appeared in analysis of evolution equations. So it is not …

We find conditions which guarantee moment (in) determinacy of powers and products of
nonnegative random variables. We establish new and general results which are based …

A probabilistic characterization is given for Schneiderʼs generalized stable laws. They
belong to the larger family of laws which are invariant under length-biasing followed by a …

After exhaustive inspection of bosonic coherent states appearing in physical literature two of
us, Horzela and Szafraniec, came in 2012 to the reasonably general definition which relies …

A nonlinear deformed algebraic theory for quantum confined systems is constructed using a
supersymmetric and shape-invariant approach. In the framework of this model, we present a …

We adopt a procedure of operational-umbral type to solve the (1+ 1)-dimensional fractional
Fokker-Planck equation in which time fractional derivative of order α (0< α< 1) is in the …

We show first that there are intrinsic relationships among different conditions, old and recent,
which lead to some general statements in both the Stieltjes and the Hamburger moment …

The concept of subordination, originally introduced in the probability and stochastic
processes theories, has also appeared in analysis of evolution equations. So it is not …

e σ (n)∼− n− 2 σ/(2− σ)⁠. We construct collective quantum states using the set of
wavefunctions of the discrete spectrum assuming this asymptotic behavior. We give …