A matrix approach to the binomial theorem
Motivated by the formula, we investigate factorizations of the lower-triangular Toeplitz matrix with (i; j )th entry equal to x i−j via the Pascal matrix. In this way, a new computational approach to the generalization of the binomial theorem is introduced. Numerous combinatorial identities are obta...
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| Published in: | Український математичний журнал |
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| Date: | 2012 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Український математичний журнал
2012
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/165411 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A matrix approach to the binomial theorem / S. Stanimirović // Український математичний журнал. — 2012. — Т. 64, № 11. — С. 1578-1584. — Бібліогр.: 15 назв. — англ. |