12 citations · 21 across the 29 of their papers we have counts for
34 papers
Some definite integrals arising from selfdecomposable characteristic functions
Zbigniew J. Jurek
In the probability theory \emph{selfdecomposable, or class distributions} play an important role as they are limiting distributions of normalized partial sums of sequences of…
Which Urbanik class , do the hyperbolic and the generalized logistic characteristic functions belong to?
Zbigniew J. Jurek
Selfdecomposable variables obtained from series of Laplace (double exponential) variables are objects of this study. We proved that hyperbolic-sine and hyperbolic-cosine variables…
Integral transforms related to Nevanlinna-Pick functions from an analytic, probabilistic and free-probability point of view
Wissem Jedidi, Zbigniew J. Jurek, Nuha Taymani
We establish a new connection between the class of Nevanlinna-Pick functions and the one of the exponents associated to spectrally negative Lévy processes. As a consequence, we com…
Some characterizations of multiple selfdecomposability with extensions and an application to the Gamma function
Wissem Jedidi, Zbigniew J. Jurek, Jumanah Al Romian
Inspirations for this paper can be traced to Urbanik (1972) where convolution semigroups of multiple decomposable distributions were introduced. In particular, the classical gamma…
Remarks on compositions of some random integral mappings
Zbigniew J. Jurek
The random integral mappings (some type of functionals of Lévy processes) are continuous homomorphisms between convolution subsemigroups of the semigroup of all infinitely divisibl…
Urbanik type subclasses of the free-infinitely divisible transforms
Zbigniew J. Jurek
For the class of free-infinitely divisible transforms are introduced three families of increasing Urbanik type subclasses of those transforms. They begin with the class of free-nor…