Title | The kernel method and systems of functional equations with several conditions |
Author(s) | Qing-Hu Hou, Toufik Mansour |
Type | Article in Journal |
Abstract | We generalize the kernel method to equation systems in which the number of unknowns is allowed to exceed the number of equations. With this generalization, we derive the generating functions for several kinds of sequences and generating trees whose recursions are dependent on the parity of the indices. |
Keywords | Kernel method, Generating functions, Sequences with two indices, Generating trees |
ISSN | 0377-0427 |
URL |
http://www.sciencedirect.com/science/article/pii/S0377042710004425 |
Language | English |
Journal | Journal of Computational and Applied Mathematics |
Volume | 235 |
Number | 5 |
Pages | 1205 - 1212 |
Year | 2011 |
Edition | 0 |
Translation |
No |
Refereed |
No |