论文标题
Urbanik类型的自由划分转换的子类
Urbanik type subclasses of the free-infinitely divisible transforms
论文作者
论文摘要
对于一系列自由划分的转换，引入了三个家族，包括增加这些转换的Urbanik类型子类。它们从一类自由正常变换开始，最终以整个自由划分的自由度转换。这些子类源自经典的无限分开措施的子类，这些措施已知它们的随机整体表示。诸如Hurwitz-lerch，Polygamma和高几何体的特殊功能出现在相应的积分表示的内核中。
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-normal transforms and end up with the whole class of free-infinitely divisible transforms. Those subclasses are derived from the ones of classical infinitely divisible measures for which are known their random integral representations. Special functions like Hurwitz-Lerch, polygamma and hypergeometric appeared in kernels of the corresponding integral representations.
