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TC
Posts:
8
Registered:
5/9/08
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Bell Polynomials and Confluent Hypergeometric Functions
Posted:
Nov 22, 2011 12:00 PM
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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.
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