@Article{JCM-18-173, author = {Xu , Ji-Hua and Zhao , Jing-Hui}, title = {Moment Generating Functions of Random Variables and Asymptotic Behaviour for Generalized Feller Operators}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {2}, pages = {173--182}, abstract = {

After giving the representation of moment generating function for the $S$-$λ$ type random variable by solving a differential equation, we prove that this type random variable is of regular $n$-$r$ order moment. Furthermore, we establish the higher order asymptotic formula for generalized Feller operators by making use of the generalized Taylor formula.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9033.html} }