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[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.
  • Classification : 60E05, 05A19, 26A33, 11C08, 05A17
  • Format : Online Talk on Zoom
  • Author(s) :
    • Ritik Soni (Central University of Punjab)
    • Ashok Kumar Pathak (Central University of Punjab)