Cauchy-Stieltjes Kernel Families and Free Multiplicative Convolution  

作　　者：Raouf Fakhfakh Abdelhamid Hassairi 

机构地区：[1]College of Science and Arts in Gurayat,Jouf University,Gurayat,Saudi Arabia [2]Laboratory of Probability and Statistics,Sfax University,Sfax,Tunisia

出　　处：《Communications in Mathematics and Statistics》2024年第4期679-694,共16页数学与统计通讯（英文）

基　　金：supported by the Deanship of Scientific Research at Jouf University through research Grant No.(DSR-2021-03-03188).

摘　　要：In this paper,we determine the effect of the free multiplicative convolution on the pseudo-variance function of a Cauchy-Stieltjes kernel family.We then use the machinery of variance functions to establish some limit theorems related to this type of convolution and involving the free additive convolution and the Boolean additive convolution.

关 键 词：Variance function Cauchy kernel Free multiplicative convolution S-TRANSFORM 

分 类 号：O17[理学—数学]