Authors and affiliations
A recently reported nice and surprising property of the Lah numbers is shown to hold for q-Lah numbers as well, i.e., they can be obtained by taking successive q-derivatives of expq(1/n), where expq(x) is the q-exponential.
- q-Lah numbers
- Daboul, S., Mangaldan, J., Spivey, M. Z. & Taylor, P. J. (2013) The Lah numbers and the n‘th derivative of e 1/x . Math. Magazine, 86, 39–47.
- Garsia, A. M. & Remmel, J. (1980) A combinatorial interpretation of q-derangement and q-Laguerre numbers, Europ. J. Combinatorics, 1, 47–59.
- Lindsay, J., Mansour, T. & Shattuck, M. (2011) A new combinatorial interpretation of a q-analogue of the Lah numbers, J. Combinatorics, 2, 245–264.
- Wagner, C. G. (1996) Generalized Stirling and Lah numbers, Discrete Math., 160, 199–218.
Cite this paper
Katriel, J. (2017). The q-Lah numbers and the nth q-derivative of expq(1/n). Notes on Number Theory and Discrete Mathematics, 23(2), 45-47.