Journal of Integer Sequences, Vol. 15 (2012), Article 12.3.7

The Inverse of Power Series and the Partial Bell Polynomials

Miloud Mihoubi and Rachida Mahdid
Faculty of Mathematics
University of Science and Technology Houari Boumediene (USTHB)
PB 32
El Alia 16111 Algiers


Using the Bell polynomials, in this paper we give the explicit compositional inverses and/or the reciprocals of some power series. We illustrate the obtained results by some examples on Stirling numbers.

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Received April 28 2011; revised version received March 15 2012. Published in Journal of Integer Sequences, March 25 2012.

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