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

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In this note we point out interesting connections among Lah numbers, Laguerre polynomials of order negative one, and exponential polynomials. We also discuss 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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Acta Universitatis Sapientiae, Mathematica

The Journal of Sapientia Hungarian University of Transylvania

Journal Information

CiteScore 2017: 0.31

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researchers in all fields of mathematics

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