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Free infinite divisibility for beta distributions and related ones

   
@article{EJP3448,
	author = {Takahiro Hasebe},
	title = {Free infinite divisibility for beta distributions and related ones},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {19},
	year = {2014},
	keywords = {Free infinite divisibility; beta distribution; beta prime distribution; Student t-distribution},
	abstract = {We prove that many of beta, beta prime, gamma, inverse gamma, Student t- and ultraspherical distributions are freely infinitely divisible, but some of them are not. The latter negative result follows from a local property of probability density functions. Moreover, we show that the Gaussian, many of ultraspherical and Student t-distributions have free divisibility indicator 1.},
	pages = {no. 80, 1-33},
	issn = {1083-6489},
	doi = {10.1214/EJP.v19-3448},    
        url = {http://ejp.ejpecp.org/article/view/3448}}