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TC
Posts:
8
Registered:
5/9/08


Bell Polynomials and Confluent Hypergeometric Functions
Posted:
Nov 22, 2011 12:00 PM


The set of notes "The Inverse Mellin Transform, Bell Polynomials, a Generalized Dobinski Relation, and the Confluent Hypergeometric Functions" at http://tcjpn.wordpress.com/ 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.



