| Title:
|
The two-parameter class of Schröder inversions (English) |
| Author:
|
Schröder, Joachim |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
54 |
| Issue:
|
1 |
| Year:
|
2013 |
| Pages:
|
5-19 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Infinite lower triangular matrices of generalized Schröder numbers are used to construct a two-parameter class of invertible sequence transformations. Their inverses are given by triangular matrices of coordination numbers. The two-parameter class of Schröder transformations is merged into a one-parameter class of stretched Riordan arrays, the left-inverses of which consist of matrices of crystal ball numbers. Schröder and inverse Schröder transforms of important sequences are calculated. (English) |
| Keyword:
|
generalized Schröder numbers |
| Keyword:
|
coordination numbers |
| Keyword:
|
crystal ball numbers |
| Keyword:
|
stretched Riordan array |
| Keyword:
|
triangular matrix |
| Keyword:
|
sequence transformation |
| Keyword:
|
inversion |
| Keyword:
|
left-inverse |
| MSC:
|
05A10 |
| MSC:
|
05A15 |
| MSC:
|
05A19 |
| idMR:
|
MR3038068 |
| . |
| Date available:
|
2013-02-21T13:59:12Z |
| Last updated:
|
2015-04-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143149 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| . |
