The kernel method and systems of functional equations with several conditions

Qing Hu Hou; Toufik Mansour

doi:10.1016/j.cam.2010.08.004

The kernel method and systems of functional equations with several conditions

Qing Hu Hou, Toufik Mansour

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1205-1212
Number of pages	8
Journal	Journal of Computational and Applied Mathematics
Volume	235
Issue number	5
DOIs	https://doi.org/10.1016/j.cam.2010.08.004
State	Published - 1 Jan 2011

Keywords

Generating functions
Generating trees
Kernel method
Sequences with two indices

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.cam.2010.08.004

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title = "The kernel method and systems of functional equations with several conditions",

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 = "Generating functions, Generating trees, Kernel method, Sequences with two indices",

author = "Hou, {Qing Hu} and Toufik Mansour",

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AB - 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.

KW - Generating functions

KW - Generating trees

KW - Kernel method

KW - Sequences with two indices

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U2 - 10.1016/j.cam.2010.08.004

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M3 - Article

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JO - Journal of Computational and Applied Mathematics

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IS - 5

ER -

The kernel method and systems of functional equations with several conditions

Abstract

Keywords

ASJC Scopus subject areas

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