Remodified Bessel Functions via Coincidences and Near Coincidences
School of Education
University of Manchester
By considering a particular probabilistic scenario associated with
coincidences, we are led to a family of functions akin to the modified
Bessel function of the first kind. These are in turn solutions to a
certain family of linear differential equations possessing structural
similarities to the modified Bessel differential equation. The
Stirling number triangle of the second kind arises quite naturally from
these differential equations, as do more complicated, yet related,
truncated number triangles, none of which appear in Sloane's
On-Line Encyclopedia of Integer Sequences.
Full version: pdf,
(Concerned with sequences
Received January 28 2011;
revised version received May 29 2011.
Published in Journal of Integer Sequences, June 11 2011.
Journal of Integer Sequences home page