What is it about?
We show interesting connections among Lah numbers, Laguerre polynomials of order negative one, and exponential polynomials. The connections appear through several different expressions for the nth derivative of exp(1/x) . A new representation of this derivative is given in terms of exponential polynomials.
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Why is it important?
It ties together some different topics and formulas n analysis
Perspectives
I am planning to research unusual connections among special number, spacial functions, classical analysis and combinatorics.
Professor Khristo N. Boyadzhiev
Ohio Northern University
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This page is a summary of: Lah numbers, Laguerre polynomials of order negative one, and the nth derivative of exp(1/x), Acta Universitatis Sapientiae Mathematica, January 2016, De Gruyter,
DOI: 10.1515/ausm-2016-0002.
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