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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.

eISSN:
2066-7752
Lingua:
Inglese
Frequenza di pubblicazione:
2 volte all'anno
Argomenti della rivista:
Mathematics, General Mathematics