Bell Polynomials and Confluent Hypergeometric Functions

Discussion in 'Math Research' started by TC, Nov 22, 2011.

  1. TC

    TC Guest

    The set of notes "The Inverse Mellin Transform, Bell Polynomials, a
    Generalized Dobinski Relation, and the Confluent Hypergeometric
    Functions" at presents a generalized
    Dobinski relation umbrally incorporating the Bell / Touchard /
    Exponential polynomials that is defined operationally through the
    action of the operator f(x d/dx) on a modified inverse Mellin
    transform. Relations to the Dirac delta function/operator and, through
    an appropriate choice of f, the confluent hypergeometric functions,
    one set of which are the generalized Laguerre functions, are sketched
    and finally some exercises presented.
    TC, Nov 22, 2011
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