*The Inverse Mellin Transform, Bell Polynomials, a Generalized Dobinski Relation, and the Confluent Hypergeometric Functions *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.

The exercises include formulas for the Riemann-Liouville and Weyl fractional integroderivatives (differintegrals) and their relations to an umbral Euler integral for the gamma function and the Kummer and Tricomi confluent hypergeometric functions.

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