Lah numbers, Laguerre polynomials of order negative one, and the nth derivative of exp(1/x)

  • Khristo N. Boyadzhiev
  • Acta Universitatis Sapientiae Mathematica, January 2016, De Gruyter
  • DOI: 10.1515/ausm-2016-0002

Lah numbers and Laguerre polynomials

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.

Why is it important?

It ties together some different topics and formulas n analysis

Perspectives

Professor Khristo N. Boyadzhiev
Ohio Northern University

I am planning to research unusual connections among special number, spacial functions, classical analysis and combinatorics.

Read Publication

http://dx.doi.org/10.1515/ausm-2016-0002

The following have contributed to this page: Professor Khristo N. Boyadzhiev