Bell Polynomials and Nonlinear Inverse Relations
Keyword(s):
By means of the Lagrange expansion formula, we establish a general pair of nonlinear inverse series relations, which are expressed via partial Bell polynomials with the connection coefficients involve an arbitrary formal power series. As applications, two examples are presented with one of them recovering the difficult theorems discovered recently by Birmajer, Gil and Weiner (2012 and 2019).
2014 ◽
Vol DMTCS Proceedings vol. AT,...
(Proceedings)
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2003 ◽
Vol 184
(2)
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pp. 369-383
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Keyword(s):
2004 ◽
Vol 339
(8)
◽
pp. 533-538
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2002 ◽
Vol 51
(3)
◽
pp. 403-410
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2017 ◽
Vol 2018
(15)
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pp. 4780-4798
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Keyword(s):
2011 ◽
Vol 31
(1)
◽
pp. 331-343
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CYCLICITY AND UNICELLULARITY OF THE DIFFERENTIATION OPERATOR ON BANACH SPACES OF FORMAL POWER SERIES
2005 ◽
Vol 105A
(1)
◽
pp. 1-7
Keyword(s):