A New Look at the Coefficients of a Reciprocal Generating Function
We study a special property of free cumulants. We prove that coefficients of a reciprocal generating function correspond to “free cumulants with the first two elements in the same block.”
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/613947 |
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Article |
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doaj-9aad6f300e474b61a8615b73b5b1aac72020-11-25T02:01:16ZengHindawi LimitedThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/613947613947A New Look at the Coefficients of a Reciprocal Generating FunctionWiktor Ejsmont0Department of Mathematics and Cybernetics, Wroclaw University of Economics, Komandorska 118/120, 53-345 Wroclaw, PolandWe study a special property of free cumulants. We prove that coefficients of a reciprocal generating function correspond to “free cumulants with the first two elements in the same block.”http://dx.doi.org/10.1155/2014/613947 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Wiktor Ejsmont |
| spellingShingle |
Wiktor Ejsmont A New Look at the Coefficients of a Reciprocal Generating Function The Scientific World Journal |
| author_facet |
Wiktor Ejsmont |
| author_sort |
Wiktor Ejsmont |
| title |
A New Look at the Coefficients of a Reciprocal Generating Function |
| title_short |
A New Look at the Coefficients of a Reciprocal Generating Function |
| title_full |
A New Look at the Coefficients of a Reciprocal Generating Function |
| title_fullStr |
A New Look at the Coefficients of a Reciprocal Generating Function |
| title_full_unstemmed |
A New Look at the Coefficients of a Reciprocal Generating Function |
| title_sort |
new look at the coefficients of a reciprocal generating function |
| publisher |
Hindawi Limited |
| series |
The Scientific World Journal |
| issn |
2356-6140 1537-744X |
| publishDate |
2014-01-01 |
| description |
We study a special property of free cumulants. We prove that coefficients of a reciprocal generating function correspond to “free cumulants with the first two elements in the same block.” |
| url |
http://dx.doi.org/10.1155/2014/613947 |
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