The kernel method and systems of functional equations with several conditions |
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| Authors: | Qing-Hu Hou Toufik Mansour |
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| Institution: | a Center for Combinatorics, LPMC-TJKLC, Nankai University, 300071 Tianjin, PR Chinab Department of Mathematics, University of Haifa, 31905 Haifa, Israel |
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| 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. |
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| Keywords: | 65Q05 05A15 |
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