[02225] On Fractional Lah-Bell Polynomials and Numbers
Session Time & Room : 3C (Aug.23, 13:20-15:00) @F312
Type : Contributed Talk
Abstract : In this talk, we will present a fractional generalization of the Lah-Bell polynomials and the Lah numbers associated to the fractional Poisson probability distribution. We derive the exponential generating functions in terms of the Mittag-Leffler function along with some convolution identities. These identities are the natural extension of several well-known identities available in literature. Finally, applications to compound Poisson process, Mittag-Leffler function, and the Laguerre polynomials are also presented.
